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Finding the Third Proportional to 513,377 and 798,066

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Solution

The third proportional to 513,377 and 798,066 is: 1,240,626.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,377 : 798,066 = 798,066 : x
  2. Step 2: Convert to fraction form
    513,377/798,066 = 798,066/x
  3. Step 3: Cross multiply
    513,377x = 798,066 × 798,066
  4. Step 4: Simplify right side
    513,377x = 636,909,340,356
  5. Step 5: Solve for x
    x = 636,909,340,356/513,377
  6. Step 6: Final answer
    x = 1,240,626.95

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