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Finding the Third Proportional to 343,442 and 737,668

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Solution

The third proportional to 343,442 and 737,668 is: 1,584,413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,442 : 737,668 = 737,668 : x
  2. Step 2: Convert to fraction form
    343,442/737,668 = 737,668/x
  3. Step 3: Cross multiply
    343,442x = 737,668 × 737,668
  4. Step 4: Simplify right side
    343,442x = 544,154,078,224
  5. Step 5: Solve for x
    x = 544,154,078,224/343,442
  6. Step 6: Final answer
    x = 1,584,413.32

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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.