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Finding the Third Proportional to 242,822 and 367,620

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Solution

The third proportional to 242,822 and 367,620 is: 556,557.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,822 : 367,620 = 367,620 : x
  2. Step 2: Convert to fraction form
    242,822/367,620 = 367,620/x
  3. Step 3: Cross multiply
    242,822x = 367,620 × 367,620
  4. Step 4: Simplify right side
    242,822x = 135,144,464,400
  5. Step 5: Solve for x
    x = 135,144,464,400/242,822
  6. Step 6: Final answer
    x = 556,557.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.