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Finding the Third Proportional to 278,914.50 and 574,335

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Solution

The third proportional to 278,914.50 and 574,335 is: 1,182,658.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,914.50 : 574,335 = 574,335 : x
  2. Step 2: Convert to fraction form
    278,914.50/574,335 = 574,335/x
  3. Step 3: Cross multiply
    278,914.50x = 574,335 × 574,335
  4. Step 4: Simplify right side
    278,914.50x = 329,860,692,225
  5. Step 5: Solve for x
    x = 329,860,692,225/278,914.50
  6. Step 6: Final answer
    x = 1,182,658.82

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.