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Finding the Third Proportional to 327,264 and 439,776

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Solution

The third proportional to 327,264 and 439,776 is: 590,969.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,264 : 439,776 = 439,776 : x
  2. Step 2: Convert to fraction form
    327,264/439,776 = 439,776/x
  3. Step 3: Cross multiply
    327,264x = 439,776 × 439,776
  4. Step 4: Simplify right side
    327,264x = 193,402,930,176
  5. Step 5: Solve for x
    x = 193,402,930,176/327,264
  6. Step 6: Final answer
    x = 590,969.16

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.