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Finding the Third Proportional to 361,443.52 and 785,205.14

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Solution

The third proportional to 361,443.52 and 785,205.14 is: 1,705,791.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,443.52 : 785,205.14 = 785,205.14 : x
  2. Step 2: Convert to fraction form
    361,443.52/785,205.14 = 785,205.14/x
  3. Step 3: Cross multiply
    361,443.52x = 785,205.14 × 785,205.14
  4. Step 4: Simplify right side
    361,443.52x = 616,547,112,863.93
  5. Step 5: Solve for x
    x = 616,547,112,863.93/361,443.52
  6. Step 6: Final answer
    x = 1,705,791.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.