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Finding the Third Proportional to 549,224 and 826,644

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Solution

The third proportional to 549,224 and 826,644 is: 1,244,192.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,224 : 826,644 = 826,644 : x
  2. Step 2: Convert to fraction form
    549,224/826,644 = 826,644/x
  3. Step 3: Cross multiply
    549,224x = 826,644 × 826,644
  4. Step 4: Simplify right side
    549,224x = 683,340,302,736
  5. Step 5: Solve for x
    x = 683,340,302,736/549,224
  6. Step 6: Final answer
    x = 1,244,192.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.