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Finding the Third Proportional to 565,624.27 and 1,230,757.03

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Solution

The third proportional to 565,624.27 and 1,230,757.03 is: 2,678,037.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,624.27 : 1,230,757.03 = 1,230,757.03 : x
  2. Step 2: Convert to fraction form
    565,624.27/1,230,757.03 = 1,230,757.03/x
  3. Step 3: Cross multiply
    565,624.27x = 1,230,757.03 × 1,230,757.03
  4. Step 4: Simplify right side
    565,624.27x = 1,514,762,869,971.31
  5. Step 5: Solve for x
    x = 1,514,762,869,971.31/565,624.27
  6. Step 6: Final answer
    x = 2,678,037.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.