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Finding the Third Proportional to 515,428 and 725,836

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Solution

The third proportional to 515,428 and 725,836 is: 1,022,136.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,428 : 725,836 = 725,836 : x
  2. Step 2: Convert to fraction form
    515,428/725,836 = 725,836/x
  3. Step 3: Cross multiply
    515,428x = 725,836 × 725,836
  4. Step 4: Simplify right side
    515,428x = 526,837,898,896
  5. Step 5: Solve for x
    x = 526,837,898,896/515,428
  6. Step 6: Final answer
    x = 1,022,136.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.