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Finding the Third Proportional to 287,805 and 617,898

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Solution

The third proportional to 287,805 and 617,898 is: 1,326,585.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,805 : 617,898 = 617,898 : x
  2. Step 2: Convert to fraction form
    287,805/617,898 = 617,898/x
  3. Step 3: Cross multiply
    287,805x = 617,898 × 617,898
  4. Step 4: Simplify right side
    287,805x = 381,797,938,404
  5. Step 5: Solve for x
    x = 381,797,938,404/287,805
  6. Step 6: Final answer
    x = 1,326,585.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.