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Finding the Third Proportional to 465,681.75 and 702,168.75

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Solution

The third proportional to 465,681.75 and 702,168.75 is: 1,058,750.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,681.75 : 702,168.75 = 702,168.75 : x
  2. Step 2: Convert to fraction form
    465,681.75/702,168.75 = 702,168.75/x
  3. Step 3: Cross multiply
    465,681.75x = 702,168.75 × 702,168.75
  4. Step 4: Simplify right side
    465,681.75x = 493,040,953,476.56
  5. Step 5: Solve for x
    x = 493,040,953,476.56/465,681.75
  6. Step 6: Final answer
    x = 1,058,750.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.