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Finding the Third Proportional to 347,745 and 741,421.50

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Solution

The third proportional to 347,745 and 741,421.50 is: 1,580,772.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,745 : 741,421.50 = 741,421.50 : x
  2. Step 2: Convert to fraction form
    347,745/741,421.50 = 741,421.50/x
  3. Step 3: Cross multiply
    347,745x = 741,421.50 × 741,421.50
  4. Step 4: Simplify right side
    347,745x = 549,705,840,662.25
  5. Step 5: Solve for x
    x = 549,705,840,662.25/347,745
  6. Step 6: Final answer
    x = 1,580,772.81

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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.