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Finding the Third Proportional to 323,122 and 536,659

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Solution

The third proportional to 323,122 and 536,659 is: 891,313.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,122 : 536,659 = 536,659 : x
  2. Step 2: Convert to fraction form
    323,122/536,659 = 536,659/x
  3. Step 3: Cross multiply
    323,122x = 536,659 × 536,659
  4. Step 4: Simplify right side
    323,122x = 288,002,882,281
  5. Step 5: Solve for x
    x = 288,002,882,281/323,122
  6. Step 6: Final answer
    x = 891,313.13

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.