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Finding the Third Proportional to 467,522 and 701,283

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Solution

The third proportional to 467,522 and 701,283 is: 1,051,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,522 : 701,283 = 701,283 : x
  2. Step 2: Convert to fraction form
    467,522/701,283 = 701,283/x
  3. Step 3: Cross multiply
    467,522x = 701,283 × 701,283
  4. Step 4: Simplify right side
    467,522x = 491,797,846,089
  5. Step 5: Solve for x
    x = 491,797,846,089/467,522
  6. Step 6: Final answer
    x = 1,051,924.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.