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Finding the Third Proportional to 351,215 and 755,746

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Solution

The third proportional to 351,215 and 755,746 is: 1,626,217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,215 : 755,746 = 755,746 : x
  2. Step 2: Convert to fraction form
    351,215/755,746 = 755,746/x
  3. Step 3: Cross multiply
    351,215x = 755,746 × 755,746
  4. Step 4: Simplify right side
    351,215x = 571,152,016,516
  5. Step 5: Solve for x
    x = 571,152,016,516/351,215
  6. Step 6: Final answer
    x = 1,626,217.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.