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Finding the Third Proportional to 408,060 and 612,091.50

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Solution

The third proportional to 408,060 and 612,091.50 is: 918,139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,060 : 612,091.50 = 612,091.50 : x
  2. Step 2: Convert to fraction form
    408,060/612,091.50 = 612,091.50/x
  3. Step 3: Cross multiply
    408,060x = 612,091.50 × 612,091.50
  4. Step 4: Simplify right side
    408,060x = 374,656,004,372.25
  5. Step 5: Solve for x
    x = 374,656,004,372.25/408,060
  6. Step 6: Final answer
    x = 918,139.50

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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.