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Finding the Third Proportional to 588,348.56 and 908,474.91

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Solution

The third proportional to 588,348.56 and 908,474.91 is: 1,402,785.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,348.56 : 908,474.91 = 908,474.91 : x
  2. Step 2: Convert to fraction form
    588,348.56/908,474.91 = 908,474.91/x
  3. Step 3: Cross multiply
    588,348.56x = 908,474.91 × 908,474.91
  4. Step 4: Simplify right side
    588,348.56x = 825,326,655,285.95
  5. Step 5: Solve for x
    x = 825,326,655,285.95/588,348.56
  6. Step 6: Final answer
    x = 1,402,785.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.