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Finding the Third Proportional to 672,713.25 and 1,042,695

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Solution

The third proportional to 672,713.25 and 1,042,695 is: 1,616,160.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,713.25 : 1,042,695 = 1,042,695 : x
  2. Step 2: Convert to fraction form
    672,713.25/1,042,695 = 1,042,695/x
  3. Step 3: Cross multiply
    672,713.25x = 1,042,695 × 1,042,695
  4. Step 4: Simplify right side
    672,713.25x = 1,087,212,863,025
  5. Step 5: Solve for x
    x = 1,087,212,863,025/672,713.25
  6. Step 6: Final answer
    x = 1,616,160.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.