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Finding the Third Proportional to 450,135 and 696,766.50

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Solution

The third proportional to 450,135 and 696,766.50 is: 1,078,528.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,135 : 696,766.50 = 696,766.50 : x
  2. Step 2: Convert to fraction form
    450,135/696,766.50 = 696,766.50/x
  3. Step 3: Cross multiply
    450,135x = 696,766.50 × 696,766.50
  4. Step 4: Simplify right side
    450,135x = 485,483,555,522.25
  5. Step 5: Solve for x
    x = 485,483,555,522.25/450,135
  6. Step 6: Final answer
    x = 1,078,528.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.