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Finding the Third Proportional to 438,435.75 and 698,175

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Solution

The third proportional to 438,435.75 and 698,175 is: 1,111,789.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,435.75 : 698,175 = 698,175 : x
  2. Step 2: Convert to fraction form
    438,435.75/698,175 = 698,175/x
  3. Step 3: Cross multiply
    438,435.75x = 698,175 × 698,175
  4. Step 4: Simplify right side
    438,435.75x = 487,448,330,625
  5. Step 5: Solve for x
    x = 487,448,330,625/438,435.75
  6. Step 6: Final answer
    x = 1,111,789.65

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.