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Finding the Third Proportional to 366,875 and 548,624

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Solution

The third proportional to 366,875 and 548,624 is: 820,411.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,875 : 548,624 = 548,624 : x
  2. Step 2: Convert to fraction form
    366,875/548,624 = 548,624/x
  3. Step 3: Cross multiply
    366,875x = 548,624 × 548,624
  4. Step 4: Simplify right side
    366,875x = 300,988,293,376
  5. Step 5: Solve for x
    x = 300,988,293,376/366,875
  6. Step 6: Final answer
    x = 820,411.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.