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Finding the Third Proportional to 287,885 and 608,989

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Solution

The third proportional to 287,885 and 608,989 is: 1,288,249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,885 : 608,989 = 608,989 : x
  2. Step 2: Convert to fraction form
    287,885/608,989 = 608,989/x
  3. Step 3: Cross multiply
    287,885x = 608,989 × 608,989
  4. Step 4: Simplify right side
    287,885x = 370,867,602,121
  5. Step 5: Solve for x
    x = 370,867,602,121/287,885
  6. Step 6: Final answer
    x = 1,288,249.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.