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Finding the Third Proportional to 512,426.25 and 710,521.88

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Solution

The third proportional to 512,426.25 and 710,521.88 is: 985,198.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,426.25 : 710,521.88 = 710,521.88 : x
  2. Step 2: Convert to fraction form
    512,426.25/710,521.88 = 710,521.88/x
  3. Step 3: Cross multiply
    512,426.25x = 710,521.88 × 710,521.88
  4. Step 4: Simplify right side
    512,426.25x = 504,841,334,853.52
  5. Step 5: Solve for x
    x = 504,841,334,853.52/512,426.25
  6. Step 6: Final answer
    x = 985,198.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.