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Finding the Third Proportional to 287,086 and 618,046

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Solution

The third proportional to 287,086 and 618,046 is: 1,330,545.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,086 : 618,046 = 618,046 : x
  2. Step 2: Convert to fraction form
    287,086/618,046 = 618,046/x
  3. Step 3: Cross multiply
    287,086x = 618,046 × 618,046
  4. Step 4: Simplify right side
    287,086x = 381,980,858,116
  5. Step 5: Solve for x
    x = 381,980,858,116/287,086
  6. Step 6: Final answer
    x = 1,330,545.06

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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.