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Finding the Third Proportional to 559,065.75 and 744,854.25

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Solution

The third proportional to 559,065.75 and 744,854.25 is: 992,383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,065.75 : 744,854.25 = 744,854.25 : x
  2. Step 2: Convert to fraction form
    559,065.75/744,854.25 = 744,854.25/x
  3. Step 3: Cross multiply
    559,065.75x = 744,854.25 × 744,854.25
  4. Step 4: Simplify right side
    559,065.75x = 554,807,853,743.06
  5. Step 5: Solve for x
    x = 554,807,853,743.06/559,065.75
  6. Step 6: Final answer
    x = 992,383.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.