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Finding the Third Proportional to 243,231 and 522,426

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Solution

The third proportional to 243,231 and 522,426 is: 1,122,097.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,231 : 522,426 = 522,426 : x
  2. Step 2: Convert to fraction form
    243,231/522,426 = 522,426/x
  3. Step 3: Cross multiply
    243,231x = 522,426 × 522,426
  4. Step 4: Simplify right side
    243,231x = 272,928,925,476
  5. Step 5: Solve for x
    x = 272,928,925,476/243,231
  6. Step 6: Final answer
    x = 1,122,097.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.