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Finding the Third Proportional to 252,528 and 561,108

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Solution

The third proportional to 252,528 and 561,108 is: 1,246,761.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,528 : 561,108 = 561,108 : x
  2. Step 2: Convert to fraction form
    252,528/561,108 = 561,108/x
  3. Step 3: Cross multiply
    252,528x = 561,108 × 561,108
  4. Step 4: Simplify right side
    252,528x = 314,842,187,664
  5. Step 5: Solve for x
    x = 314,842,187,664/252,528
  6. Step 6: Final answer
    x = 1,246,761.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.