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Finding the Third Proportional to 490,932 and 750,672

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Solution

The third proportional to 490,932 and 750,672 is: 1,147,834.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,932 : 750,672 = 750,672 : x
  2. Step 2: Convert to fraction form
    490,932/750,672 = 750,672/x
  3. Step 3: Cross multiply
    490,932x = 750,672 × 750,672
  4. Step 4: Simplify right side
    490,932x = 563,508,451,584
  5. Step 5: Solve for x
    x = 563,508,451,584/490,932
  6. Step 6: Final answer
    x = 1,147,834.02

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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.