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Finding the Third Proportional to 443,892 and 676,894.50

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Solution

The third proportional to 443,892 and 676,894.50 is: 1,032,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,892 : 676,894.50 = 676,894.50 : x
  2. Step 2: Convert to fraction form
    443,892/676,894.50 = 676,894.50/x
  3. Step 3: Cross multiply
    443,892x = 676,894.50 × 676,894.50
  4. Step 4: Simplify right side
    443,892x = 458,186,164,130.25
  5. Step 5: Solve for x
    x = 458,186,164,130.25/443,892
  6. Step 6: Final answer
    x = 1,032,201.90

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.