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Finding the Third Proportional to 490,107 and 749,578

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Solution

The third proportional to 490,107 and 749,578 is: 1,146,417.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,107 : 749,578 = 749,578 : x
  2. Step 2: Convert to fraction form
    490,107/749,578 = 749,578/x
  3. Step 3: Cross multiply
    490,107x = 749,578 × 749,578
  4. Step 4: Simplify right side
    490,107x = 561,867,178,084
  5. Step 5: Solve for x
    x = 561,867,178,084/490,107
  6. Step 6: Final answer
    x = 1,146,417.37

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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.