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Finding the Third Proportional to 347,247 and 521,796

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Solution

The third proportional to 347,247 and 521,796 is: 784,084.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,247 : 521,796 = 521,796 : x
  2. Step 2: Convert to fraction form
    347,247/521,796 = 521,796/x
  3. Step 3: Cross multiply
    347,247x = 521,796 × 521,796
  4. Step 4: Simplify right side
    347,247x = 272,271,065,616
  5. Step 5: Solve for x
    x = 272,271,065,616/347,247
  6. Step 6: Final answer
    x = 784,084.72

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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.