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Finding the Third Proportional to 408,288 and 600,336

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Solution

The third proportional to 408,288 and 600,336 is: 882,718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,288 : 600,336 = 600,336 : x
  2. Step 2: Convert to fraction form
    408,288/600,336 = 600,336/x
  3. Step 3: Cross multiply
    408,288x = 600,336 × 600,336
  4. Step 4: Simplify right side
    408,288x = 360,403,312,896
  5. Step 5: Solve for x
    x = 360,403,312,896/408,288
  6. Step 6: Final answer
    x = 882,718.36

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