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Finding the Third Proportional to 295,920 and 463,713

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Solution

The third proportional to 295,920 and 463,713 is: 726,648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,920 : 463,713 = 463,713 : x
  2. Step 2: Convert to fraction form
    295,920/463,713 = 463,713/x
  3. Step 3: Cross multiply
    295,920x = 463,713 × 463,713
  4. Step 4: Simplify right side
    295,920x = 215,029,746,369
  5. Step 5: Solve for x
    x = 215,029,746,369/295,920
  6. Step 6: Final answer
    x = 726,648.24

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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.