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Finding the Third Proportional to 563,676.75 and 1,182,742.50

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Solution

The third proportional to 563,676.75 and 1,182,742.50 is: 2,481,705.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,676.75 : 1,182,742.50 = 1,182,742.50 : x
  2. Step 2: Convert to fraction form
    563,676.75/1,182,742.50 = 1,182,742.50/x
  3. Step 3: Cross multiply
    563,676.75x = 1,182,742.50 × 1,182,742.50
  4. Step 4: Simplify right side
    563,676.75x = 1,398,879,821,306.25
  5. Step 5: Solve for x
    x = 1,398,879,821,306.25/563,676.75
  6. Step 6: Final answer
    x = 2,481,705.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.