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Finding the Third Proportional to 287,024 and 442,648

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Solution

The third proportional to 287,024 and 442,648 is: 682,651.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,024 : 442,648 = 442,648 : x
  2. Step 2: Convert to fraction form
    287,024/442,648 = 442,648/x
  3. Step 3: Cross multiply
    287,024x = 442,648 × 442,648
  4. Step 4: Simplify right side
    287,024x = 195,937,251,904
  5. Step 5: Solve for x
    x = 195,937,251,904/287,024
  6. Step 6: Final answer
    x = 682,651.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.