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Finding the Third Proportional to 347,920 and 537,593

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Solution

The third proportional to 347,920 and 537,593 is: 830,668.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,920 : 537,593 = 537,593 : x
  2. Step 2: Convert to fraction form
    347,920/537,593 = 537,593/x
  3. Step 3: Cross multiply
    347,920x = 537,593 × 537,593
  4. Step 4: Simplify right side
    347,920x = 289,006,233,649
  5. Step 5: Solve for x
    x = 289,006,233,649/347,920
  6. Step 6: Final answer
    x = 830,668.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.