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Finding the Third Proportional to 278,104.50 and 595,575

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Solution

The third proportional to 278,104.50 and 595,575 is: 1,275,454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,104.50 : 595,575 = 595,575 : x
  2. Step 2: Convert to fraction form
    278,104.50/595,575 = 595,575/x
  3. Step 3: Cross multiply
    278,104.50x = 595,575 × 595,575
  4. Step 4: Simplify right side
    278,104.50x = 354,709,580,625
  5. Step 5: Solve for x
    x = 354,709,580,625/278,104.50
  6. Step 6: Final answer
    x = 1,275,454.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.