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Finding the Third Proportional to 399,001.88 and 559,878.75

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Solution

The third proportional to 399,001.88 and 559,878.75 is: 785,620.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,001.88 : 559,878.75 = 559,878.75 : x
  2. Step 2: Convert to fraction form
    399,001.88/559,878.75 = 559,878.75/x
  3. Step 3: Cross multiply
    399,001.88x = 559,878.75 × 559,878.75
  4. Step 4: Simplify right side
    399,001.88x = 313,464,214,701.56
  5. Step 5: Solve for x
    x = 313,464,214,701.56/399,001.88
  6. Step 6: Final answer
    x = 785,620.91

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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.