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Finding the Third Proportional to 347,532 and 811,932

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Solution

The third proportional to 347,532 and 811,932 is: 1,896,900.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,532 : 811,932 = 811,932 : x
  2. Step 2: Convert to fraction form
    347,532/811,932 = 811,932/x
  3. Step 3: Cross multiply
    347,532x = 811,932 × 811,932
  4. Step 4: Simplify right side
    347,532x = 659,233,572,624
  5. Step 5: Solve for x
    x = 659,233,572,624/347,532
  6. Step 6: Final answer
    x = 1,896,900.35

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.