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Finding the Third Proportional to 542,862 and 713,862

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Solution

The third proportional to 542,862 and 713,862 is: 938,726.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,862 : 713,862 = 713,862 : x
  2. Step 2: Convert to fraction form
    542,862/713,862 = 713,862/x
  3. Step 3: Cross multiply
    542,862x = 713,862 × 713,862
  4. Step 4: Simplify right side
    542,862x = 509,598,955,044
  5. Step 5: Solve for x
    x = 509,598,955,044/542,862
  6. Step 6: Final answer
    x = 938,726.52

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.