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Finding the Third Proportional to 278,734.50 and 420,712.50

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Solution

The third proportional to 278,734.50 and 420,712.50 is: 635,009.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,734.50 : 420,712.50 = 420,712.50 : x
  2. Step 2: Convert to fraction form
    278,734.50/420,712.50 = 420,712.50/x
  3. Step 3: Cross multiply
    278,734.50x = 420,712.50 × 420,712.50
  4. Step 4: Simplify right side
    278,734.50x = 176,999,007,656.25
  5. Step 5: Solve for x
    x = 176,999,007,656.25/278,734.50
  6. Step 6: Final answer
    x = 635,009.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.