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Finding the Third Proportional to 342,852 and 746,632

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Solution

The third proportional to 342,852 and 746,632 is: 1,625,947.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,852 : 746,632 = 746,632 : x
  2. Step 2: Convert to fraction form
    342,852/746,632 = 746,632/x
  3. Step 3: Cross multiply
    342,852x = 746,632 × 746,632
  4. Step 4: Simplify right side
    342,852x = 557,459,343,424
  5. Step 5: Solve for x
    x = 557,459,343,424/342,852
  6. Step 6: Final answer
    x = 1,625,947.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.