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Finding the Third Proportional to 468,060 and 718,980

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Solution

The third proportional to 468,060 and 718,980 is: 1,104,414.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,060 : 718,980 = 718,980 : x
  2. Step 2: Convert to fraction form
    468,060/718,980 = 718,980/x
  3. Step 3: Cross multiply
    468,060x = 718,980 × 718,980
  4. Step 4: Simplify right side
    468,060x = 516,932,240,400
  5. Step 5: Solve for x
    x = 516,932,240,400/468,060
  6. Step 6: Final answer
    x = 1,104,414.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.