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Finding the Third Proportional to 225,785 and 497,646

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Solution

The third proportional to 225,785 and 497,646 is: 1,096,846.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,785 : 497,646 = 497,646 : x
  2. Step 2: Convert to fraction form
    225,785/497,646 = 497,646/x
  3. Step 3: Cross multiply
    225,785x = 497,646 × 497,646
  4. Step 4: Simplify right side
    225,785x = 247,651,541,316
  5. Step 5: Solve for x
    x = 247,651,541,316/225,785
  6. Step 6: Final answer
    x = 1,096,846.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.