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Finding the Third Proportional to 458,740 and 674,591

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Solution

The third proportional to 458,740 and 674,591 is: 992,006.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,740 : 674,591 = 674,591 : x
  2. Step 2: Convert to fraction form
    458,740/674,591 = 674,591/x
  3. Step 3: Cross multiply
    458,740x = 674,591 × 674,591
  4. Step 4: Simplify right side
    458,740x = 455,073,017,281
  5. Step 5: Solve for x
    x = 455,073,017,281/458,740
  6. Step 6: Final answer
    x = 992,006.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.