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Finding the Third Proportional to 434,506.50 and 636,204.75

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Solution

The third proportional to 434,506.50 and 636,204.75 is: 931,531.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,506.50 : 636,204.75 = 636,204.75 : x
  2. Step 2: Convert to fraction form
    434,506.50/636,204.75 = 636,204.75/x
  3. Step 3: Cross multiply
    434,506.50x = 636,204.75 × 636,204.75
  4. Step 4: Simplify right side
    434,506.50x = 404,756,483,922.56
  5. Step 5: Solve for x
    x = 404,756,483,922.56/434,506.50
  6. Step 6: Final answer
    x = 931,531.48

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.