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Finding the Third Proportional to 478,325.09 and 1,040,726.29

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Solution

The third proportional to 478,325.09 and 1,040,726.29 is: 2,264,382.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,325.09 : 1,040,726.29 = 1,040,726.29 : x
  2. Step 2: Convert to fraction form
    478,325.09/1,040,726.29 = 1,040,726.29/x
  3. Step 3: Cross multiply
    478,325.09x = 1,040,726.29 × 1,040,726.29
  4. Step 4: Simplify right side
    478,325.09x = 1,083,111,200,615.02
  5. Step 5: Solve for x
    x = 1,083,111,200,615.02/478,325.09
  6. Step 6: Final answer
    x = 2,264,382.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.