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Finding the Third Proportional to 570,217.25 and 797,197.25

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Solution

The third proportional to 570,217.25 and 797,197.25 is: 1,114,528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,217.25 : 797,197.25 = 797,197.25 : x
  2. Step 2: Convert to fraction form
    570,217.25/797,197.25 = 797,197.25/x
  3. Step 3: Cross multiply
    570,217.25x = 797,197.25 × 797,197.25
  4. Step 4: Simplify right side
    570,217.25x = 635,523,455,407.56
  5. Step 5: Solve for x
    x = 635,523,455,407.56/570,217.25
  6. Step 6: Final answer
    x = 1,114,528.64

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.