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Finding the Third Proportional to 490,458 and 759,744

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Solution

The third proportional to 490,458 and 759,744 is: 1,176,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,458 : 759,744 = 759,744 : x
  2. Step 2: Convert to fraction form
    490,458/759,744 = 759,744/x
  3. Step 3: Cross multiply
    490,458x = 759,744 × 759,744
  4. Step 4: Simplify right side
    490,458x = 577,210,945,536
  5. Step 5: Solve for x
    x = 577,210,945,536/490,458
  6. Step 6: Final answer
    x = 1,176,881.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.