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Finding the Third Proportional to 343,412.16 and 755,338.92

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Solution

The third proportional to 343,412.16 and 755,338.92 is: 1,661,376.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,412.16 : 755,338.92 = 755,338.92 : x
  2. Step 2: Convert to fraction form
    343,412.16/755,338.92 = 755,338.92/x
  3. Step 3: Cross multiply
    343,412.16x = 755,338.92 × 755,338.92
  4. Step 4: Simplify right side
    343,412.16x = 570,536,886,899.29
  5. Step 5: Solve for x
    x = 570,536,886,899.29/343,412.16
  6. Step 6: Final answer
    x = 1,661,376.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.