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Finding the Third Proportional to 287,566 and 622,731

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Solution

The third proportional to 287,566 and 622,731 is: 1,348,538.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,566 : 622,731 = 622,731 : x
  2. Step 2: Convert to fraction form
    287,566/622,731 = 622,731/x
  3. Step 3: Cross multiply
    287,566x = 622,731 × 622,731
  4. Step 4: Simplify right side
    287,566x = 387,793,898,361
  5. Step 5: Solve for x
    x = 387,793,898,361/287,566
  6. Step 6: Final answer
    x = 1,348,538.76

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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.