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Finding the Third Proportional to 478,565.63 and 741,377.25

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Solution

The third proportional to 478,565.63 and 741,377.25 is: 1,148,515.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,565.63 : 741,377.25 = 741,377.25 : x
  2. Step 2: Convert to fraction form
    478,565.63/741,377.25 = 741,377.25/x
  3. Step 3: Cross multiply
    478,565.63x = 741,377.25 × 741,377.25
  4. Step 4: Simplify right side
    478,565.63x = 549,640,226,817.56
  5. Step 5: Solve for x
    x = 549,640,226,817.56/478,565.63
  6. Step 6: Final answer
    x = 1,148,515.89

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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.