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Finding the Third Proportional to 408,532 and 610,326

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Solution

The third proportional to 408,532 and 610,326 is: 911,795.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,532 : 610,326 = 610,326 : x
  2. Step 2: Convert to fraction form
    408,532/610,326 = 610,326/x
  3. Step 3: Cross multiply
    408,532x = 610,326 × 610,326
  4. Step 4: Simplify right side
    408,532x = 372,497,826,276
  5. Step 5: Solve for x
    x = 372,497,826,276/408,532
  6. Step 6: Final answer
    x = 911,795.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.