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Finding the Third Proportional to 347,752.88 and 732,867

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Solution

The third proportional to 347,752.88 and 732,867 is: 1,544,470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,752.88 : 732,867 = 732,867 : x
  2. Step 2: Convert to fraction form
    347,752.88/732,867 = 732,867/x
  3. Step 3: Cross multiply
    347,752.88x = 732,867 × 732,867
  4. Step 4: Simplify right side
    347,752.88x = 537,094,039,689
  5. Step 5: Solve for x
    x = 537,094,039,689/347,752.88
  6. Step 6: Final answer
    x = 1,544,470.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.