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Finding the Third Proportional to 502,548 and 777,150.75

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Solution

The third proportional to 502,548 and 777,150.75 is: 1,201,802.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,548 : 777,150.75 = 777,150.75 : x
  2. Step 2: Convert to fraction form
    502,548/777,150.75 = 777,150.75/x
  3. Step 3: Cross multiply
    502,548x = 777,150.75 × 777,150.75
  4. Step 4: Simplify right side
    502,548x = 603,963,288,225.56
  5. Step 5: Solve for x
    x = 603,963,288,225.56/502,548
  6. Step 6: Final answer
    x = 1,201,802.19

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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.