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Finding the Third Proportional to 463,902 and 718,300

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Solution

The third proportional to 463,902 and 718,300 is: 1,112,206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,902 : 718,300 = 718,300 : x
  2. Step 2: Convert to fraction form
    463,902/718,300 = 718,300/x
  3. Step 3: Cross multiply
    463,902x = 718,300 × 718,300
  4. Step 4: Simplify right side
    463,902x = 515,954,890,000
  5. Step 5: Solve for x
    x = 515,954,890,000/463,902
  6. Step 6: Final answer
    x = 1,112,206.65

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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.