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Finding the Third Proportional to 257,338.13 and 567,028.13

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Solution

The third proportional to 257,338.13 and 567,028.13 is: 1,249,410.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,338.13 : 567,028.13 = 567,028.13 : x
  2. Step 2: Convert to fraction form
    257,338.13/567,028.13 = 567,028.13/x
  3. Step 3: Cross multiply
    257,338.13x = 567,028.13 × 567,028.13
  4. Step 4: Simplify right side
    257,338.13x = 321,520,894,541.02
  5. Step 5: Solve for x
    x = 321,520,894,541.02/257,338.13
  6. Step 6: Final answer
    x = 1,249,410.26

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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.