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Finding the Third Proportional to 279,364 and 432,482

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Solution

The third proportional to 279,364 and 432,482 is: 669,523.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,364 : 432,482 = 432,482 : x
  2. Step 2: Convert to fraction form
    279,364/432,482 = 432,482/x
  3. Step 3: Cross multiply
    279,364x = 432,482 × 432,482
  4. Step 4: Simplify right side
    279,364x = 187,040,680,324
  5. Step 5: Solve for x
    x = 187,040,680,324/279,364
  6. Step 6: Final answer
    x = 669,523.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.