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Finding the Third Proportional to 287,727 and 440,334

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Solution

The third proportional to 287,727 and 440,334 is: 673,881.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,727 : 440,334 = 440,334 : x
  2. Step 2: Convert to fraction form
    287,727/440,334 = 440,334/x
  3. Step 3: Cross multiply
    287,727x = 440,334 × 440,334
  4. Step 4: Simplify right side
    287,727x = 193,894,031,556
  5. Step 5: Solve for x
    x = 193,894,031,556/287,727
  6. Step 6: Final answer
    x = 673,881.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.