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Finding the Third Proportional to 538,442 and 833,624

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Solution

The third proportional to 538,442 and 833,624 is: 1,290,629.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,442 : 833,624 = 833,624 : x
  2. Step 2: Convert to fraction form
    538,442/833,624 = 833,624/x
  3. Step 3: Cross multiply
    538,442x = 833,624 × 833,624
  4. Step 4: Simplify right side
    538,442x = 694,928,973,376
  5. Step 5: Solve for x
    x = 694,928,973,376/538,442
  6. Step 6: Final answer
    x = 1,290,629.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.