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Finding the Third Proportional to 373,270.78 and 561,748.61

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Solution

The third proportional to 373,270.78 and 561,748.61 is: 845,395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,270.78 : 561,748.61 = 561,748.61 : x
  2. Step 2: Convert to fraction form
    373,270.78/561,748.61 = 561,748.61/x
  3. Step 3: Cross multiply
    373,270.78x = 561,748.61 × 561,748.61
  4. Step 4: Simplify right side
    373,270.78x = 315,561,495,746.09
  5. Step 5: Solve for x
    x = 315,561,495,746.09/373,270.78
  6. Step 6: Final answer
    x = 845,395.65

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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.