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Finding the Third Proportional to 287,040 and 448,002

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Solution

The third proportional to 287,040 and 448,002 is: 699,225.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,040 : 448,002 = 448,002 : x
  2. Step 2: Convert to fraction form
    287,040/448,002 = 448,002/x
  3. Step 3: Cross multiply
    287,040x = 448,002 × 448,002
  4. Step 4: Simplify right side
    287,040x = 200,705,792,004
  5. Step 5: Solve for x
    x = 200,705,792,004/287,040
  6. Step 6: Final answer
    x = 699,225.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.