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Finding the Third Proportional to 331,822.50 and 707,079

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Solution

The third proportional to 331,822.50 and 707,079 is: 1,506,711.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,822.50 : 707,079 = 707,079 : x
  2. Step 2: Convert to fraction form
    331,822.50/707,079 = 707,079/x
  3. Step 3: Cross multiply
    331,822.50x = 707,079 × 707,079
  4. Step 4: Simplify right side
    331,822.50x = 499,960,712,241
  5. Step 5: Solve for x
    x = 499,960,712,241/331,822.50
  6. Step 6: Final answer
    x = 1,506,711.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.