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Finding the Third Proportional to 264,879 and 563,899.50

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Solution

The third proportional to 264,879 and 563,899.50 is: 1,200,482.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,879 : 563,899.50 = 563,899.50 : x
  2. Step 2: Convert to fraction form
    264,879/563,899.50 = 563,899.50/x
  3. Step 3: Cross multiply
    264,879x = 563,899.50 × 563,899.50
  4. Step 4: Simplify right side
    264,879x = 317,982,646,100.25
  5. Step 5: Solve for x
    x = 317,982,646,100.25/264,879
  6. Step 6: Final answer
    x = 1,200,482.66

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.