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Finding the Third Proportional to 572,811.75 and 1,255,793.63

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Solution

The third proportional to 572,811.75 and 1,255,793.63 is: 2,753,116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,811.75 : 1,255,793.63 = 1,255,793.63 : x
  2. Step 2: Convert to fraction form
    572,811.75/1,255,793.63 = 1,255,793.63/x
  3. Step 3: Cross multiply
    572,811.75x = 1,255,793.63 × 1,255,793.63
  4. Step 4: Simplify right side
    572,811.75x = 1,577,017,628,590.64
  5. Step 5: Solve for x
    x = 1,577,017,628,590.64/572,811.75
  6. Step 6: Final answer
    x = 2,753,116.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.