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Finding the Third Proportional to 366,478 and 795,624

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Solution

The third proportional to 366,478 and 795,624 is: 1,727,300.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,478 : 795,624 = 795,624 : x
  2. Step 2: Convert to fraction form
    366,478/795,624 = 795,624/x
  3. Step 3: Cross multiply
    366,478x = 795,624 × 795,624
  4. Step 4: Simplify right side
    366,478x = 633,017,549,376
  5. Step 5: Solve for x
    x = 633,017,549,376/366,478
  6. Step 6: Final answer
    x = 1,727,300.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.