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Finding the Third Proportional to 463,830.50 and 997,778

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Solution

The third proportional to 463,830.50 and 997,778 is: 2,146,389.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,830.50 : 997,778 = 997,778 : x
  2. Step 2: Convert to fraction form
    463,830.50/997,778 = 997,778/x
  3. Step 3: Cross multiply
    463,830.50x = 997,778 × 997,778
  4. Step 4: Simplify right side
    463,830.50x = 995,560,937,284
  5. Step 5: Solve for x
    x = 995,560,937,284/463,830.50
  6. Step 6: Final answer
    x = 2,146,389.55

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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.