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Finding the Third Proportional to 340,905.38 and 741,497.63

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Solution

The third proportional to 340,905.38 and 741,497.63 is: 1,612,819.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,905.38 : 741,497.63 = 741,497.63 : x
  2. Step 2: Convert to fraction form
    340,905.38/741,497.63 = 741,497.63/x
  3. Step 3: Cross multiply
    340,905.38x = 741,497.63 × 741,497.63
  4. Step 4: Simplify right side
    340,905.38x = 549,818,727,880.64
  5. Step 5: Solve for x
    x = 549,818,727,880.64/340,905.38
  6. Step 6: Final answer
    x = 1,612,819.18

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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.