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Finding the Third Proportional to 347,352 and 519,570

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Solution

The third proportional to 347,352 and 519,570 is: 777,174.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,352 : 519,570 = 519,570 : x
  2. Step 2: Convert to fraction form
    347,352/519,570 = 519,570/x
  3. Step 3: Cross multiply
    347,352x = 519,570 × 519,570
  4. Step 4: Simplify right side
    347,352x = 269,952,984,900
  5. Step 5: Solve for x
    x = 269,952,984,900/347,352
  6. Step 6: Final answer
    x = 777,174.12

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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.