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Finding the Third Proportional to 343,959 and 755,169

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Solution

The third proportional to 343,959 and 755,169 is: 1,657,988.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,959 : 755,169 = 755,169 : x
  2. Step 2: Convert to fraction form
    343,959/755,169 = 755,169/x
  3. Step 3: Cross multiply
    343,959x = 755,169 × 755,169
  4. Step 4: Simplify right side
    343,959x = 570,280,218,561
  5. Step 5: Solve for x
    x = 570,280,218,561/343,959
  6. Step 6: Final answer
    x = 1,657,988.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.