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Finding the Third Proportional to 347,598 and 465,561

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Solution

The third proportional to 347,598 and 465,561 is: 623,556.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,598 : 465,561 = 465,561 : x
  2. Step 2: Convert to fraction form
    347,598/465,561 = 465,561/x
  3. Step 3: Cross multiply
    347,598x = 465,561 × 465,561
  4. Step 4: Simplify right side
    347,598x = 216,747,044,721
  5. Step 5: Solve for x
    x = 216,747,044,721/347,598
  6. Step 6: Final answer
    x = 623,556.65

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.