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Finding the Third Proportional to 502,814,344 and 775,743,792

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Solution

The third proportional to 502,814,344 and 775,743,792 is: 1,196,820,333.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,814,344 : 775,743,792 = 775,743,792 : x
  2. Step 2: Convert to fraction form
    502,814,344/775,743,792 = 775,743,792/x
  3. Step 3: Cross multiply
    502,814,344x = 775,743,792 × 775,743,792
  4. Step 4: Simplify right side
    502,814,344x = 601,778,430,826,539,264
  5. Step 5: Solve for x
    x = 601,778,430,826,539,264/502,814,344
  6. Step 6: Final answer
    x = 1,196,820,333.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.