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Finding the Third Proportional to 366,952 and 543,624

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Solution

The third proportional to 366,952 and 543,624 is: 805,356.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,952 : 543,624 = 543,624 : x
  2. Step 2: Convert to fraction form
    366,952/543,624 = 543,624/x
  3. Step 3: Cross multiply
    366,952x = 543,624 × 543,624
  4. Step 4: Simplify right side
    366,952x = 295,527,053,376
  5. Step 5: Solve for x
    x = 295,527,053,376/366,952
  6. Step 6: Final answer
    x = 805,356.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.