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Finding the Third Proportional to 401,752.33 and 865,004.42

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Solution

The third proportional to 401,752.33 and 865,004.42 is: 1,862,422.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,752.33 : 865,004.42 = 865,004.42 : x
  2. Step 2: Convert to fraction form
    401,752.33/865,004.42 = 865,004.42/x
  3. Step 3: Cross multiply
    401,752.33x = 865,004.42 × 865,004.42
  4. Step 4: Simplify right side
    401,752.33x = 748,232,643,950.17
  5. Step 5: Solve for x
    x = 748,232,643,950.17/401,752.33
  6. Step 6: Final answer
    x = 1,862,422.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.