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Finding the Third Proportional to 559,899 and 850,216.50

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Solution

The third proportional to 559,899 and 850,216.50 is: 1,291,068.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,899 : 850,216.50 = 850,216.50 : x
  2. Step 2: Convert to fraction form
    559,899/850,216.50 = 850,216.50/x
  3. Step 3: Cross multiply
    559,899x = 850,216.50 × 850,216.50
  4. Step 4: Simplify right side
    559,899x = 722,868,096,872.25
  5. Step 5: Solve for x
    x = 722,868,096,872.25/559,899
  6. Step 6: Final answer
    x = 1,291,068.74

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