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Finding the Third Proportional to 295,742 and 463,332

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Solution

The third proportional to 295,742 and 463,332 is: 725,891.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,742 : 463,332 = 463,332 : x
  2. Step 2: Convert to fraction form
    295,742/463,332 = 463,332/x
  3. Step 3: Cross multiply
    295,742x = 463,332 × 463,332
  4. Step 4: Simplify right side
    295,742x = 214,676,542,224
  5. Step 5: Solve for x
    x = 214,676,542,224/295,742
  6. Step 6: Final answer
    x = 725,891.29

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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.