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Finding the Third Proportional to 451,905 and 700,306.50

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Solution

The third proportional to 451,905 and 700,306.50 is: 1,085,248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,905 : 700,306.50 = 700,306.50 : x
  2. Step 2: Convert to fraction form
    451,905/700,306.50 = 700,306.50/x
  3. Step 3: Cross multiply
    451,905x = 700,306.50 × 700,306.50
  4. Step 4: Simplify right side
    451,905x = 490,429,193,942.25
  5. Step 5: Solve for x
    x = 490,429,193,942.25/451,905
  6. Step 6: Final answer
    x = 1,085,248.43

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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.