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Finding the Third Proportional to 549,504 and 871,776

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Solution

The third proportional to 549,504 and 871,776 is: 1,383,053.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,504 : 871,776 = 871,776 : x
  2. Step 2: Convert to fraction form
    549,504/871,776 = 871,776/x
  3. Step 3: Cross multiply
    549,504x = 871,776 × 871,776
  4. Step 4: Simplify right side
    549,504x = 759,993,394,176
  5. Step 5: Solve for x
    x = 759,993,394,176/549,504
  6. Step 6: Final answer
    x = 1,383,053.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.