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Finding the Third Proportional to 463,823.50 and 997,765

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Solution

The third proportional to 463,823.50 and 997,765 is: 2,146,366.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,823.50 : 997,765 = 997,765 : x
  2. Step 2: Convert to fraction form
    463,823.50/997,765 = 997,765/x
  3. Step 3: Cross multiply
    463,823.50x = 997,765 × 997,765
  4. Step 4: Simplify right side
    463,823.50x = 995,534,995,225
  5. Step 5: Solve for x
    x = 995,534,995,225/463,823.50
  6. Step 6: Final answer
    x = 2,146,366.01

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.