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Finding the Third Proportional to 374,335.13 and 581,806.88

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Solution

The third proportional to 374,335.13 and 581,806.88 is: 904,267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,335.13 : 581,806.88 = 581,806.88 : x
  2. Step 2: Convert to fraction form
    374,335.13/581,806.88 = 581,806.88/x
  3. Step 3: Cross multiply
    374,335.13x = 581,806.88 × 581,806.88
  4. Step 4: Simplify right side
    374,335.13x = 338,499,239,797.27
  5. Step 5: Solve for x
    x = 338,499,239,797.27/374,335.13
  6. Step 6: Final answer
    x = 904,267.91

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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.