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Finding the Third Proportional to 463,895.72 and 718,290.84

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Solution

The third proportional to 463,895.72 and 718,290.84 is: 1,112,193.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,895.72 : 718,290.84 = 718,290.84 : x
  2. Step 2: Convert to fraction form
    463,895.72/718,290.84 = 718,290.84/x
  3. Step 3: Cross multiply
    463,895.72x = 718,290.84 × 718,290.84
  4. Step 4: Simplify right side
    463,895.72x = 515,941,736,215.09
  5. Step 5: Solve for x
    x = 515,941,736,215.09/463,895.72
  6. Step 6: Final answer
    x = 1,112,193.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.