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Finding the Third Proportional to 343,452 and 737,688

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Solution

The third proportional to 343,452 and 737,688 is: 1,584,453.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,452 : 737,688 = 737,688 : x
  2. Step 2: Convert to fraction form
    343,452/737,688 = 737,688/x
  3. Step 3: Cross multiply
    343,452x = 737,688 × 737,688
  4. Step 4: Simplify right side
    343,452x = 544,183,585,344
  5. Step 5: Solve for x
    x = 544,183,585,344/343,452
  6. Step 6: Final answer
    x = 1,584,453.10

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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.