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Finding the Third Proportional to 570,690 and 854,475.75

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Solution

The third proportional to 570,690 and 854,475.75 is: 1,279,379.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,690 : 854,475.75 = 854,475.75 : x
  2. Step 2: Convert to fraction form
    570,690/854,475.75 = 854,475.75/x
  3. Step 3: Cross multiply
    570,690x = 854,475.75 × 854,475.75
  4. Step 4: Simplify right side
    570,690x = 730,128,807,338.06
  5. Step 5: Solve for x
    x = 730,128,807,338.06/570,690
  6. Step 6: Final answer
    x = 1,279,379.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.