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Finding the Third Proportional to 541,388.81 and 756,919.69

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Solution

The third proportional to 541,388.81 and 756,919.69 is: 1,058,254.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,388.81 : 756,919.69 = 756,919.69 : x
  2. Step 2: Convert to fraction form
    541,388.81/756,919.69 = 756,919.69/x
  3. Step 3: Cross multiply
    541,388.81x = 756,919.69 × 756,919.69
  4. Step 4: Simplify right side
    541,388.81x = 572,927,413,325.10
  5. Step 5: Solve for x
    x = 572,927,413,325.10/541,388.81
  6. Step 6: Final answer
    x = 1,058,254.99

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.