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Finding the Third Proportional to 465,000 and 658,158

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Solution

The third proportional to 465,000 and 658,158 is: 931,552.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,000 : 658,158 = 658,158 : x
  2. Step 2: Convert to fraction form
    465,000/658,158 = 658,158/x
  3. Step 3: Cross multiply
    465,000x = 658,158 × 658,158
  4. Step 4: Simplify right side
    465,000x = 433,171,952,964
  5. Step 5: Solve for x
    x = 433,171,952,964/465,000
  6. Step 6: Final answer
    x = 931,552.59

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Why These Related Problems?

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