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Finding the Third Proportional to 302,432 and 444,886

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Solution

The third proportional to 302,432 and 444,886 is: 654,439.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,432 : 444,886 = 444,886 : x
  2. Step 2: Convert to fraction form
    302,432/444,886 = 444,886/x
  3. Step 3: Cross multiply
    302,432x = 444,886 × 444,886
  4. Step 4: Simplify right side
    302,432x = 197,923,552,996
  5. Step 5: Solve for x
    x = 197,923,552,996/302,432
  6. Step 6: Final answer
    x = 654,439.85

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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.