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Finding the Third Proportional to 549,013 and 820,287

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Solution

The third proportional to 549,013 and 820,287 is: 1,225,600.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,013 : 820,287 = 820,287 : x
  2. Step 2: Convert to fraction form
    549,013/820,287 = 820,287/x
  3. Step 3: Cross multiply
    549,013x = 820,287 × 820,287
  4. Step 4: Simplify right side
    549,013x = 672,870,762,369
  5. Step 5: Solve for x
    x = 672,870,762,369/549,013
  6. Step 6: Final answer
    x = 1,225,600.78

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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.