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Finding the Third Proportional to 490,646 and 730,785

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Solution

The third proportional to 490,646 and 730,785 is: 1,088,456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,646 : 730,785 = 730,785 : x
  2. Step 2: Convert to fraction form
    490,646/730,785 = 730,785/x
  3. Step 3: Cross multiply
    490,646x = 730,785 × 730,785
  4. Step 4: Simplify right side
    490,646x = 534,046,716,225
  5. Step 5: Solve for x
    x = 534,046,716,225/490,646
  6. Step 6: Final answer
    x = 1,088,456.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.