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Finding the Third Proportional to 291,282 and 632,388

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Solution

The third proportional to 291,282 and 632,388 is: 1,372,946.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,282 : 632,388 = 632,388 : x
  2. Step 2: Convert to fraction form
    291,282/632,388 = 632,388/x
  3. Step 3: Cross multiply
    291,282x = 632,388 × 632,388
  4. Step 4: Simplify right side
    291,282x = 399,914,582,544
  5. Step 5: Solve for x
    x = 399,914,582,544/291,282
  6. Step 6: Final answer
    x = 1,372,946.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.