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Finding the Third Proportional to 519,808 and 783,552

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Solution

The third proportional to 519,808 and 783,552 is: 1,181,116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,808 : 783,552 = 783,552 : x
  2. Step 2: Convert to fraction form
    519,808/783,552 = 783,552/x
  3. Step 3: Cross multiply
    519,808x = 783,552 × 783,552
  4. Step 4: Simplify right side
    519,808x = 613,953,736,704
  5. Step 5: Solve for x
    x = 613,953,736,704/519,808
  6. Step 6: Final answer
    x = 1,181,116.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.