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Finding the Third Proportional to 319,309.13 and 532,160.63

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Solution

The third proportional to 319,309.13 and 532,160.63 is: 886,898.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,309.13 : 532,160.63 = 532,160.63 : x
  2. Step 2: Convert to fraction form
    319,309.13/532,160.63 = 532,160.63/x
  3. Step 3: Cross multiply
    319,309.13x = 532,160.63 × 532,160.63
  4. Step 4: Simplify right side
    319,309.13x = 283,194,930,800.39
  5. Step 5: Solve for x
    x = 283,194,930,800.39/319,309.13
  6. Step 6: Final answer
    x = 886,898.96

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.