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Finding the Third Proportional to 374,536 and 561,228

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Solution

The third proportional to 374,536 and 561,228 is: 840,978.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,536 : 561,228 = 561,228 : x
  2. Step 2: Convert to fraction form
    374,536/561,228 = 561,228/x
  3. Step 3: Cross multiply
    374,536x = 561,228 × 561,228
  4. Step 4: Simplify right side
    374,536x = 314,976,867,984
  5. Step 5: Solve for x
    x = 314,976,867,984/374,536
  6. Step 6: Final answer
    x = 840,978.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.