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Finding the Third Proportional to 279,044 and 611,170

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Solution

The third proportional to 279,044 and 611,170 is: 1,338,601.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,044 : 611,170 = 611,170 : x
  2. Step 2: Convert to fraction form
    279,044/611,170 = 611,170/x
  3. Step 3: Cross multiply
    279,044x = 611,170 × 611,170
  4. Step 4: Simplify right side
    279,044x = 373,528,768,900
  5. Step 5: Solve for x
    x = 373,528,768,900/279,044
  6. Step 6: Final answer
    x = 1,338,601.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.