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Finding the Third Proportional to 343,755 and 740,168

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Solution

The third proportional to 343,755 and 740,168 is: 1,593,718.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,755 : 740,168 = 740,168 : x
  2. Step 2: Convert to fraction form
    343,755/740,168 = 740,168/x
  3. Step 3: Cross multiply
    343,755x = 740,168 × 740,168
  4. Step 4: Simplify right side
    343,755x = 547,848,668,224
  5. Step 5: Solve for x
    x = 547,848,668,224/343,755
  6. Step 6: Final answer
    x = 1,593,718.40

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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.