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Finding the Third Proportional to 476,963,680.50 and 717,833,724.75

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Solution

The third proportional to 476,963,680.50 and 717,833,724.75 is: 1,080,344,851.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,963,680.50 : 717,833,724.75 = 717,833,724.75 : x
  2. Step 2: Convert to fraction form
    476,963,680.50/717,833,724.75 = 717,833,724.75/x
  3. Step 3: Cross multiply
    476,963,680.50x = 717,833,724.75 × 717,833,724.75
  4. Step 4: Simplify right side
    476,963,680.50x = 515,285,256,388,458,752
  5. Step 5: Solve for x
    x = 515,285,256,388,458,752/476,963,680.50
  6. Step 6: Final answer
    x = 1,080,344,851.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.