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Finding the Third Proportional to 576,996.75 and 1,255,582.69

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Solution

The third proportional to 576,996.75 and 1,255,582.69 is: 2,732,230.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,996.75 : 1,255,582.69 = 1,255,582.69 : x
  2. Step 2: Convert to fraction form
    576,996.75/1,255,582.69 = 1,255,582.69/x
  3. Step 3: Cross multiply
    576,996.75x = 1,255,582.69 × 1,255,582.69
  4. Step 4: Simplify right side
    576,996.75x = 1,576,487,885,149.72
  5. Step 5: Solve for x
    x = 1,576,487,885,149.72/576,996.75
  6. Step 6: Final answer
    x = 2,732,230.10

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Why These Related Problems?

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