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Finding the Third Proportional to 451,624 and 660,482

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Solution

The third proportional to 451,624 and 660,482 is: 965,928.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,624 : 660,482 = 660,482 : x
  2. Step 2: Convert to fraction form
    451,624/660,482 = 660,482/x
  3. Step 3: Cross multiply
    451,624x = 660,482 × 660,482
  4. Step 4: Simplify right side
    451,624x = 436,236,472,324
  5. Step 5: Solve for x
    x = 436,236,472,324/451,624
  6. Step 6: Final answer
    x = 965,928.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.