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Finding the Third Proportional to 423,778.50 and 914,787

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Solution

The third proportional to 423,778.50 and 914,787 is: 1,974,699.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,778.50 : 914,787 = 914,787 : x
  2. Step 2: Convert to fraction form
    423,778.50/914,787 = 914,787/x
  3. Step 3: Cross multiply
    423,778.50x = 914,787 × 914,787
  4. Step 4: Simplify right side
    423,778.50x = 836,835,255,369
  5. Step 5: Solve for x
    x = 836,835,255,369/423,778.50
  6. Step 6: Final answer
    x = 1,974,699.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.