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Finding the Third Proportional to 490,118 and 749,596

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Solution

The third proportional to 490,118 and 749,596 is: 1,146,446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,118 : 749,596 = 749,596 : x
  2. Step 2: Convert to fraction form
    490,118/749,596 = 749,596/x
  3. Step 3: Cross multiply
    490,118x = 749,596 × 749,596
  4. Step 4: Simplify right side
    490,118x = 561,894,163,216
  5. Step 5: Solve for x
    x = 561,894,163,216/490,118
  6. Step 6: Final answer
    x = 1,146,446.70

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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.