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Finding the Third Proportional to 252,126 and 537,947

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Solution

The third proportional to 252,126 and 537,947 is: 1,147,787.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,126 : 537,947 = 537,947 : x
  2. Step 2: Convert to fraction form
    252,126/537,947 = 537,947/x
  3. Step 3: Cross multiply
    252,126x = 537,947 × 537,947
  4. Step 4: Simplify right side
    252,126x = 289,386,974,809
  5. Step 5: Solve for x
    x = 289,386,974,809/252,126
  6. Step 6: Final answer
    x = 1,147,787.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.