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Finding the Third Proportional to 463,898 and 718,292

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Solution

The third proportional to 463,898 and 718,292 is: 1,112,191.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,898 : 718,292 = 718,292 : x
  2. Step 2: Convert to fraction form
    463,898/718,292 = 718,292/x
  3. Step 3: Cross multiply
    463,898x = 718,292 × 718,292
  4. Step 4: Simplify right side
    463,898x = 515,943,397,264
  5. Step 5: Solve for x
    x = 515,943,397,264/463,898
  6. Step 6: Final answer
    x = 1,112,191.47

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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.