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Finding the Third Proportional to 465,601.50 and 997,614

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Solution

The third proportional to 465,601.50 and 997,614 is: 2,137,522.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,601.50 : 997,614 = 997,614 : x
  2. Step 2: Convert to fraction form
    465,601.50/997,614 = 997,614/x
  3. Step 3: Cross multiply
    465,601.50x = 997,614 × 997,614
  4. Step 4: Simplify right side
    465,601.50x = 995,233,692,996
  5. Step 5: Solve for x
    x = 995,233,692,996/465,601.50
  6. Step 6: Final answer
    x = 2,137,522.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.