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Finding the Third Proportional to 651,462.38 and 982,320.25

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Solution

The third proportional to 651,462.38 and 982,320.25 is: 1,481,210.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,462.38 : 982,320.25 = 982,320.25 : x
  2. Step 2: Convert to fraction form
    651,462.38/982,320.25 = 982,320.25/x
  3. Step 3: Cross multiply
    651,462.38x = 982,320.25 × 982,320.25
  4. Step 4: Simplify right side
    651,462.38x = 964,953,073,560.06
  5. Step 5: Solve for x
    x = 964,953,073,560.06/651,462.38
  6. Step 6: Final answer
    x = 1,481,210.75

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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.