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Finding the Third Proportional to 465,006 and 658,164

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Solution

The third proportional to 465,006 and 658,164 is: 931,557.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,006 : 658,164 = 658,164 : x
  2. Step 2: Convert to fraction form
    465,006/658,164 = 658,164/x
  3. Step 3: Cross multiply
    465,006x = 658,164 × 658,164
  4. Step 4: Simplify right side
    465,006x = 433,179,850,896
  5. Step 5: Solve for x
    x = 433,179,850,896/465,006
  6. Step 6: Final answer
    x = 931,557.55

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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.