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Finding the Third Proportional to 465,010 and 658,172

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Solution

The third proportional to 465,010 and 658,172 is: 931,572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,010 : 658,172 = 658,172 : x
  2. Step 2: Convert to fraction form
    465,010/658,172 = 658,172/x
  3. Step 3: Cross multiply
    465,010x = 658,172 × 658,172
  4. Step 4: Simplify right side
    465,010x = 433,190,381,584
  5. Step 5: Solve for x
    x = 433,190,381,584/465,010
  6. Step 6: Final answer
    x = 931,572.18

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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.