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Finding the Third Proportional to 252,502 and 554,060

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Solution

The third proportional to 252,502 and 554,060 is: 1,215,762.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,502 : 554,060 = 554,060 : x
  2. Step 2: Convert to fraction form
    252,502/554,060 = 554,060/x
  3. Step 3: Cross multiply
    252,502x = 554,060 × 554,060
  4. Step 4: Simplify right side
    252,502x = 306,982,483,600
  5. Step 5: Solve for x
    x = 306,982,483,600/252,502
  6. Step 6: Final answer
    x = 1,215,762.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.