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Finding the Third Proportional to 497,112 and 760,112

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Solution

The third proportional to 497,112 and 760,112 is: 1,162,253.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,112 : 760,112 = 760,112 : x
  2. Step 2: Convert to fraction form
    497,112/760,112 = 760,112/x
  3. Step 3: Cross multiply
    497,112x = 760,112 × 760,112
  4. Step 4: Simplify right side
    497,112x = 577,770,252,544
  5. Step 5: Solve for x
    x = 577,770,252,544/497,112
  6. Step 6: Final answer
    x = 1,162,253.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.