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Finding the Third Proportional to 358,921.13 and 783,042.19

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Solution

The third proportional to 358,921.13 and 783,042.19 is: 1,708,328.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,921.13 : 783,042.19 = 783,042.19 : x
  2. Step 2: Convert to fraction form
    358,921.13/783,042.19 = 783,042.19/x
  3. Step 3: Cross multiply
    358,921.13x = 783,042.19 × 783,042.19
  4. Step 4: Simplify right side
    358,921.13x = 613,155,067,404.79
  5. Step 5: Solve for x
    x = 613,155,067,404.79/358,921.13
  6. Step 6: Final answer
    x = 1,708,328.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.