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Finding the Third Proportional to 252,501.75 and 540,471.75

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Solution

The third proportional to 252,501.75 and 540,471.75 is: 1,156,862.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,501.75 : 540,471.75 = 540,471.75 : x
  2. Step 2: Convert to fraction form
    252,501.75/540,471.75 = 540,471.75/x
  3. Step 3: Cross multiply
    252,501.75x = 540,471.75 × 540,471.75
  4. Step 4: Simplify right side
    252,501.75x = 292,109,712,548.06
  5. Step 5: Solve for x
    x = 292,109,712,548.06/252,501.75
  6. Step 6: Final answer
    x = 1,156,862.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.