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Finding the Third Proportional to 574,290 and 843,669

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Solution

The third proportional to 574,290 and 843,669 is: 1,239,404.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,290 : 843,669 = 843,669 : x
  2. Step 2: Convert to fraction form
    574,290/843,669 = 843,669/x
  3. Step 3: Cross multiply
    574,290x = 843,669 × 843,669
  4. Step 4: Simplify right side
    574,290x = 711,777,381,561
  5. Step 5: Solve for x
    x = 711,777,381,561/574,290
  6. Step 6: Final answer
    x = 1,239,404.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.