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Finding the Third Proportional to 572,973.75 and 871,917.75

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Solution

The third proportional to 572,973.75 and 871,917.75 is: 1,326,833.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,973.75 : 871,917.75 = 871,917.75 : x
  2. Step 2: Convert to fraction form
    572,973.75/871,917.75 = 871,917.75/x
  3. Step 3: Cross multiply
    572,973.75x = 871,917.75 × 871,917.75
  4. Step 4: Simplify right side
    572,973.75x = 760,240,562,765.06
  5. Step 5: Solve for x
    x = 760,240,562,765.06/572,973.75
  6. Step 6: Final answer
    x = 1,326,833.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.