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Finding the Third Proportional to 479,503.13 and 715,974.19

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Solution

The third proportional to 479,503.13 and 715,974.19 is: 1,069,062.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,503.13 : 715,974.19 = 715,974.19 : x
  2. Step 2: Convert to fraction form
    479,503.13/715,974.19 = 715,974.19/x
  3. Step 3: Cross multiply
    479,503.13x = 715,974.19 × 715,974.19
  4. Step 4: Simplify right side
    479,503.13x = 512,619,037,166.29
  5. Step 5: Solve for x
    x = 512,619,037,166.29/479,503.13
  6. Step 6: Final answer
    x = 1,069,062.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.