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Finding the Third Proportional to 297,873 and 416,677.50

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Solution

The third proportional to 297,873 and 416,677.50 is: 582,866.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,873 : 416,677.50 = 416,677.50 : x
  2. Step 2: Convert to fraction form
    297,873/416,677.50 = 416,677.50/x
  3. Step 3: Cross multiply
    297,873x = 416,677.50 × 416,677.50
  4. Step 4: Simplify right side
    297,873x = 173,620,139,006.25
  5. Step 5: Solve for x
    x = 173,620,139,006.25/297,873
  6. Step 6: Final answer
    x = 582,866.32

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.