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Finding the Third Proportional to 549,216 and 826,632

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Solution

The third proportional to 549,216 and 826,632 is: 1,244,174.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,216 : 826,632 = 826,632 : x
  2. Step 2: Convert to fraction form
    549,216/826,632 = 826,632/x
  3. Step 3: Cross multiply
    549,216x = 826,632 × 826,632
  4. Step 4: Simplify right side
    549,216x = 683,320,463,424
  5. Step 5: Solve for x
    x = 683,320,463,424/549,216
  6. Step 6: Final answer
    x = 1,244,174.36

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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.