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Finding the Third Proportional to 482,841 and 718,551

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Solution

The third proportional to 482,841 and 718,551 is: 1,069,328.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,841 : 718,551 = 718,551 : x
  2. Step 2: Convert to fraction form
    482,841/718,551 = 718,551/x
  3. Step 3: Cross multiply
    482,841x = 718,551 × 718,551
  4. Step 4: Simplify right side
    482,841x = 516,315,539,601
  5. Step 5: Solve for x
    x = 516,315,539,601/482,841
  6. Step 6: Final answer
    x = 1,069,328.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.