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Finding the Third Proportional to 354,658.50 and 532,359

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Solution

The third proportional to 354,658.50 and 532,359 is: 799,095.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,658.50 : 532,359 = 532,359 : x
  2. Step 2: Convert to fraction form
    354,658.50/532,359 = 532,359/x
  3. Step 3: Cross multiply
    354,658.50x = 532,359 × 532,359
  4. Step 4: Simplify right side
    354,658.50x = 283,406,104,881
  5. Step 5: Solve for x
    x = 283,406,104,881/354,658.50
  6. Step 6: Final answer
    x = 799,095.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.