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Finding the Third Proportional to 402,841.13 and 545,170.50

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Solution

The third proportional to 402,841.13 and 545,170.50 is: 737,786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,841.13 : 545,170.50 = 545,170.50 : x
  2. Step 2: Convert to fraction form
    402,841.13/545,170.50 = 545,170.50/x
  3. Step 3: Cross multiply
    402,841.13x = 545,170.50 × 545,170.50
  4. Step 4: Simplify right side
    402,841.13x = 297,210,874,070.25
  5. Step 5: Solve for x
    x = 297,210,874,070.25/402,841.13
  6. Step 6: Final answer
    x = 737,786.82

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.