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Finding the Third Proportional to 484,290.56 and 754,115.06

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Solution

The third proportional to 484,290.56 and 754,115.06 is: 1,174,273.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,290.56 : 754,115.06 = 754,115.06 : x
  2. Step 2: Convert to fraction form
    484,290.56/754,115.06 = 754,115.06/x
  3. Step 3: Cross multiply
    484,290.56x = 754,115.06 × 754,115.06
  4. Step 4: Simplify right side
    484,290.56x = 568,689,527,489.38
  5. Step 5: Solve for x
    x = 568,689,527,489.38/484,290.56
  6. Step 6: Final answer
    x = 1,174,273.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.