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Finding the Third Proportional to 386,358.19 and 567,964.13

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Solution

The third proportional to 386,358.19 and 567,964.13 is: 834,933.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,358.19 : 567,964.13 = 567,964.13 : x
  2. Step 2: Convert to fraction form
    386,358.19/567,964.13 = 567,964.13/x
  3. Step 3: Cross multiply
    386,358.19x = 567,964.13 × 567,964.13
  4. Step 4: Simplify right side
    386,358.19x = 322,583,247,287.02
  5. Step 5: Solve for x
    x = 322,583,247,287.02/386,358.19
  6. Step 6: Final answer
    x = 834,933.12

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.