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Finding the Third Proportional to 499,041 and 767,070

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Solution

The third proportional to 499,041 and 767,070 is: 1,179,054.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,041 : 767,070 = 767,070 : x
  2. Step 2: Convert to fraction form
    499,041/767,070 = 767,070/x
  3. Step 3: Cross multiply
    499,041x = 767,070 × 767,070
  4. Step 4: Simplify right side
    499,041x = 588,396,384,900
  5. Step 5: Solve for x
    x = 588,396,384,900/499,041
  6. Step 6: Final answer
    x = 1,179,054.20

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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.