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Finding the Third Proportional to 243,394 and 522,768

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Solution

The third proportional to 243,394 and 522,768 is: 1,122,814.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,394 : 522,768 = 522,768 : x
  2. Step 2: Convert to fraction form
    243,394/522,768 = 522,768/x
  3. Step 3: Cross multiply
    243,394x = 522,768 × 522,768
  4. Step 4: Simplify right side
    243,394x = 273,286,381,824
  5. Step 5: Solve for x
    x = 273,286,381,824/243,394
  6. Step 6: Final answer
    x = 1,122,814.79

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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.