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Finding the Third Proportional to 465,064.50 and 658,251

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Solution

The third proportional to 465,064.50 and 658,251 is: 931,686.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,064.50 : 658,251 = 658,251 : x
  2. Step 2: Convert to fraction form
    465,064.50/658,251 = 658,251/x
  3. Step 3: Cross multiply
    465,064.50x = 658,251 × 658,251
  4. Step 4: Simplify right side
    465,064.50x = 433,294,379,001
  5. Step 5: Solve for x
    x = 433,294,379,001/465,064.50
  6. Step 6: Final answer
    x = 931,686.63

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.