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Finding the Third Proportional to 465,009.75 and 658,171.13

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Solution

The third proportional to 465,009.75 and 658,171.13 is: 931,570.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,009.75 : 658,171.13 = 658,171.13 : x
  2. Step 2: Convert to fraction form
    465,009.75/658,171.13 = 658,171.13/x
  3. Step 3: Cross multiply
    465,009.75x = 658,171.13 × 658,171.13
  4. Step 4: Simplify right side
    465,009.75x = 433,189,229,783.77
  5. Step 5: Solve for x
    x = 433,189,229,783.77/465,009.75
  6. Step 6: Final answer
    x = 931,570.21

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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.