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Finding the Third Proportional to 282,679.03 and 437,140.97

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Solution

The third proportional to 282,679.03 and 437,140.97 is: 676,004.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,679.03 : 437,140.97 = 437,140.97 : x
  2. Step 2: Convert to fraction form
    282,679.03/437,140.97 = 437,140.97/x
  3. Step 3: Cross multiply
    282,679.03x = 437,140.97 × 437,140.97
  4. Step 4: Simplify right side
    282,679.03x = 191,092,226,559.69
  5. Step 5: Solve for x
    x = 191,092,226,559.69/282,679.03
  6. Step 6: Final answer
    x = 676,004.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.