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Finding the Third Proportional to 408,295 and 600,778.50

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Solution

The third proportional to 408,295 and 600,778.50 is: 884,004.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,295 : 600,778.50 = 600,778.50 : x
  2. Step 2: Convert to fraction form
    408,295/600,778.50 = 600,778.50/x
  3. Step 3: Cross multiply
    408,295x = 600,778.50 × 600,778.50
  4. Step 4: Simplify right side
    408,295x = 360,934,806,062.25
  5. Step 5: Solve for x
    x = 360,934,806,062.25/408,295
  6. Step 6: Final answer
    x = 884,004.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.