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Finding the Third Proportional to 287,738 and 431,610

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Solution

The third proportional to 287,738 and 431,610 is: 647,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,738 : 431,610 = 431,610 : x
  2. Step 2: Convert to fraction form
    287,738/431,610 = 431,610/x
  3. Step 3: Cross multiply
    287,738x = 431,610 × 431,610
  4. Step 4: Simplify right side
    287,738x = 186,287,192,100
  5. Step 5: Solve for x
    x = 186,287,192,100/287,738
  6. Step 6: Final answer
    x = 647,419.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.