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Finding the Third Proportional to 287,799 and 617,886

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Solution

The third proportional to 287,799 and 617,886 is: 1,326,561.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,799 : 617,886 = 617,886 : x
  2. Step 2: Convert to fraction form
    287,799/617,886 = 617,886/x
  3. Step 3: Cross multiply
    287,799x = 617,886 × 617,886
  4. Step 4: Simplify right side
    287,799x = 381,783,108,996
  5. Step 5: Solve for x
    x = 381,783,108,996/287,799
  6. Step 6: Final answer
    x = 1,326,561.62

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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.