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Finding the Third Proportional to 570,265.50 and 797,266.50

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Solution

The third proportional to 570,265.50 and 797,266.50 is: 1,114,627.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,265.50 : 797,266.50 = 797,266.50 : x
  2. Step 2: Convert to fraction form
    570,265.50/797,266.50 = 797,266.50/x
  3. Step 3: Cross multiply
    570,265.50x = 797,266.50 × 797,266.50
  4. Step 4: Simplify right side
    570,265.50x = 635,633,872,022.25
  5. Step 5: Solve for x
    x = 635,633,872,022.25/570,265.50
  6. Step 6: Final answer
    x = 1,114,627.96

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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.