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Finding the Third Proportional to 464,558 and 703,251

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Solution

The third proportional to 464,558 and 703,251 is: 1,064,586.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,558 : 703,251 = 703,251 : x
  2. Step 2: Convert to fraction form
    464,558/703,251 = 703,251/x
  3. Step 3: Cross multiply
    464,558x = 703,251 × 703,251
  4. Step 4: Simplify right side
    464,558x = 494,561,969,001
  5. Step 5: Solve for x
    x = 494,561,969,001/464,558
  6. Step 6: Final answer
    x = 1,064,586.06

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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.