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Finding the Third Proportional to 376,555.13 and 829,498.13

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Solution

The third proportional to 376,555.13 and 829,498.13 is: 1,827,268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,555.13 : 829,498.13 = 829,498.13 : x
  2. Step 2: Convert to fraction form
    376,555.13/829,498.13 = 829,498.13/x
  3. Step 3: Cross multiply
    376,555.13x = 829,498.13 × 829,498.13
  4. Step 4: Simplify right side
    376,555.13x = 688,067,139,378.52
  5. Step 5: Solve for x
    x = 688,067,139,378.52/376,555.13
  6. Step 6: Final answer
    x = 1,827,268.02

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.