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Finding the Third Proportional to 252,874.13 and 537,931.13

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Solution

The third proportional to 252,874.13 and 537,931.13 is: 1,144,323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,874.13 : 537,931.13 = 537,931.13 : x
  2. Step 2: Convert to fraction form
    252,874.13/537,931.13 = 537,931.13/x
  3. Step 3: Cross multiply
    252,874.13x = 537,931.13 × 537,931.13
  4. Step 4: Simplify right side
    252,874.13x = 289,369,895,243.77
  5. Step 5: Solve for x
    x = 289,369,895,243.77/252,874.13
  6. Step 6: Final answer
    x = 1,144,323.86

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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.