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Finding the Third Proportional to 287,710 and 440,324

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Solution

The third proportional to 287,710 and 440,324 is: 673,891.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,710 : 440,324 = 440,324 : x
  2. Step 2: Convert to fraction form
    287,710/440,324 = 440,324/x
  3. Step 3: Cross multiply
    287,710x = 440,324 × 440,324
  4. Step 4: Simplify right side
    287,710x = 193,885,224,976
  5. Step 5: Solve for x
    x = 193,885,224,976/287,710
  6. Step 6: Final answer
    x = 673,891.16

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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.