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Finding the Third Proportional to 295,960 and 463,774

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Solution

The third proportional to 295,960 and 463,774 is: 726,741.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,960 : 463,774 = 463,774 : x
  2. Step 2: Convert to fraction form
    295,960/463,774 = 463,774/x
  3. Step 3: Cross multiply
    295,960x = 463,774 × 463,774
  4. Step 4: Simplify right side
    295,960x = 215,086,323,076
  5. Step 5: Solve for x
    x = 215,086,323,076/295,960
  6. Step 6: Final answer
    x = 726,741.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.