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Finding the Third Proportional to 287,451.75 and 604,698

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Solution

The third proportional to 287,451.75 and 604,698 is: 1,272,073.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,451.75 : 604,698 = 604,698 : x
  2. Step 2: Convert to fraction form
    287,451.75/604,698 = 604,698/x
  3. Step 3: Cross multiply
    287,451.75x = 604,698 × 604,698
  4. Step 4: Simplify right side
    287,451.75x = 365,659,671,204
  5. Step 5: Solve for x
    x = 365,659,671,204/287,451.75
  6. Step 6: Final answer
    x = 1,272,073.21

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.