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Finding the Third Proportional to 434,866.50 and 691,827.75

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Solution

The third proportional to 434,866.50 and 691,827.75 is: 1,100,626.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,866.50 : 691,827.75 = 691,827.75 : x
  2. Step 2: Convert to fraction form
    434,866.50/691,827.75 = 691,827.75/x
  3. Step 3: Cross multiply
    434,866.50x = 691,827.75 × 691,827.75
  4. Step 4: Simplify right side
    434,866.50x = 478,625,635,670.06
  5. Step 5: Solve for x
    x = 478,625,635,670.06/434,866.50
  6. Step 6: Final answer
    x = 1,100,626.60

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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.