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Finding the Third Proportional to 403,670 and 833,624

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Solution

The third proportional to 403,670 and 833,624 is: 1,721,527.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,670 : 833,624 = 833,624 : x
  2. Step 2: Convert to fraction form
    403,670/833,624 = 833,624/x
  3. Step 3: Cross multiply
    403,670x = 833,624 × 833,624
  4. Step 4: Simplify right side
    403,670x = 694,928,973,376
  5. Step 5: Solve for x
    x = 694,928,973,376/403,670
  6. Step 6: Final answer
    x = 1,721,527.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.