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Finding the Third Proportional to 347,731.88 and 741,392.63

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Solution

The third proportional to 347,731.88 and 741,392.63 is: 1,580,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,731.88 : 741,392.63 = 741,392.63 : x
  2. Step 2: Convert to fraction form
    347,731.88/741,392.63 = 741,392.63/x
  3. Step 3: Cross multiply
    347,731.88x = 741,392.63 × 741,392.63
  4. Step 4: Simplify right side
    347,731.88x = 549,663,024,404.39
  5. Step 5: Solve for x
    x = 549,663,024,404.39/347,731.88
  6. Step 6: Final answer
    x = 1,580,709.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.