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Finding the Third Proportional to 571,487 and 783,665

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Solution

The third proportional to 571,487 and 783,665 is: 1,074,619.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,487 : 783,665 = 783,665 : x
  2. Step 2: Convert to fraction form
    571,487/783,665 = 783,665/x
  3. Step 3: Cross multiply
    571,487x = 783,665 × 783,665
  4. Step 4: Simplify right side
    571,487x = 614,130,832,225
  5. Step 5: Solve for x
    x = 614,130,832,225/571,487
  6. Step 6: Final answer
    x = 1,074,619.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.