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Finding the Third Proportional to 347,920.50 and 741,403.50

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Solution

The third proportional to 347,920.50 and 741,403.50 is: 1,579,898.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,920.50 : 741,403.50 = 741,403.50 : x
  2. Step 2: Convert to fraction form
    347,920.50/741,403.50 = 741,403.50/x
  3. Step 3: Cross multiply
    347,920.50x = 741,403.50 × 741,403.50
  4. Step 4: Simplify right side
    347,920.50x = 549,679,149,812.25
  5. Step 5: Solve for x
    x = 549,679,149,812.25/347,920.50
  6. Step 6: Final answer
    x = 1,579,898.71

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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.