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Finding the Third Proportional to 285,466.50 and 614,781

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Solution

The third proportional to 285,466.50 and 614,781 is: 1,323,993.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,466.50 : 614,781 = 614,781 : x
  2. Step 2: Convert to fraction form
    285,466.50/614,781 = 614,781/x
  3. Step 3: Cross multiply
    285,466.50x = 614,781 × 614,781
  4. Step 4: Simplify right side
    285,466.50x = 377,955,677,961
  5. Step 5: Solve for x
    x = 377,955,677,961/285,466.50
  6. Step 6: Final answer
    x = 1,323,993.11

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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.