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Finding the Third Proportional to 325,687 and 707,078

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Solution

The third proportional to 325,687 and 707,078 is: 1,535,091.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,687 : 707,078 = 707,078 : x
  2. Step 2: Convert to fraction form
    325,687/707,078 = 707,078/x
  3. Step 3: Cross multiply
    325,687x = 707,078 × 707,078
  4. Step 4: Simplify right side
    325,687x = 499,959,298,084
  5. Step 5: Solve for x
    x = 499,959,298,084/325,687
  6. Step 6: Final answer
    x = 1,535,091.35

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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.