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Finding the Third Proportional to 434,634 and 664,870.50

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Solution

The third proportional to 434,634 and 664,870.50 is: 1,017,069.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,634 : 664,870.50 = 664,870.50 : x
  2. Step 2: Convert to fraction form
    434,634/664,870.50 = 664,870.50/x
  3. Step 3: Cross multiply
    434,634x = 664,870.50 × 664,870.50
  4. Step 4: Simplify right side
    434,634x = 442,052,781,770.25
  5. Step 5: Solve for x
    x = 442,052,781,770.25/434,634
  6. Step 6: Final answer
    x = 1,017,069.03

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.