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Finding the Third Proportional to 482,473.13 and 707,589

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Solution

The third proportional to 482,473.13 and 707,589 is: 1,037,741.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,473.13 : 707,589 = 707,589 : x
  2. Step 2: Convert to fraction form
    482,473.13/707,589 = 707,589/x
  3. Step 3: Cross multiply
    482,473.13x = 707,589 × 707,589
  4. Step 4: Simplify right side
    482,473.13x = 500,682,192,921
  5. Step 5: Solve for x
    x = 500,682,192,921/482,473.13
  6. Step 6: Final answer
    x = 1,037,741.10

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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.