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Finding the Third Proportional to 502,814,297 and 775,743,720

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Solution

The third proportional to 502,814,297 and 775,743,720 is: 1,196,820,223.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,814,297 : 775,743,720 = 775,743,720 : x
  2. Step 2: Convert to fraction form
    502,814,297/775,743,720 = 775,743,720/x
  3. Step 3: Cross multiply
    502,814,297x = 775,743,720 × 775,743,720
  4. Step 4: Simplify right side
    502,814,297x = 601,778,319,119,438,336
  5. Step 5: Solve for x
    x = 601,778,319,119,438,336/502,814,297
  6. Step 6: Final answer
    x = 1,196,820,223.11

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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.