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Finding the Third Proportional to 498,960 and 887,112

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Solution

The third proportional to 498,960 and 887,112 is: 1,577,216.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,960 : 887,112 = 887,112 : x
  2. Step 2: Convert to fraction form
    498,960/887,112 = 887,112/x
  3. Step 3: Cross multiply
    498,960x = 887,112 × 887,112
  4. Step 4: Simplify right side
    498,960x = 786,967,700,544
  5. Step 5: Solve for x
    x = 786,967,700,544/498,960
  6. Step 6: Final answer
    x = 1,577,216.01

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.