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Finding the Third Proportional to 323,836,849 and 500,888,665.50

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Solution

The third proportional to 323,836,849 and 500,888,665.50 is: 774,740,292.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,836,849 : 500,888,665.50 = 500,888,665.50 : x
  2. Step 2: Convert to fraction form
    323,836,849/500,888,665.50 = 500,888,665.50/x
  3. Step 3: Cross multiply
    323,836,849x = 500,888,665.50 × 500,888,665.50
  4. Step 4: Simplify right side
    323,836,849x = 250,889,455,226,370,880
  5. Step 5: Solve for x
    x = 250,889,455,226,370,880/323,836,849
  6. Step 6: Final answer
    x = 774,740,292.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.