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Finding the Third Proportional to 347,749 and 741,430

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Solution

The third proportional to 347,749 and 741,430 is: 1,580,790.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,749 : 741,430 = 741,430 : x
  2. Step 2: Convert to fraction form
    347,749/741,430 = 741,430/x
  3. Step 3: Cross multiply
    347,749x = 741,430 × 741,430
  4. Step 4: Simplify right side
    347,749x = 549,718,444,900
  5. Step 5: Solve for x
    x = 549,718,444,900/347,749
  6. Step 6: Final answer
    x = 1,580,790.87

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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.