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Finding the Third Proportional to 473,374.13 and 715,726.13

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Solution

The third proportional to 473,374.13 and 715,726.13 is: 1,082,154.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,374.13 : 715,726.13 = 715,726.13 : x
  2. Step 2: Convert to fraction form
    473,374.13/715,726.13 = 715,726.13/x
  3. Step 3: Cross multiply
    473,374.13x = 715,726.13 × 715,726.13
  4. Step 4: Simplify right side
    473,374.13x = 512,263,886,007.52
  5. Step 5: Solve for x
    x = 512,263,886,007.52/473,374.13
  6. Step 6: Final answer
    x = 1,082,154.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.