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Finding the Third Proportional to 490,068 and 735,302

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Solution

The third proportional to 490,068 and 735,302 is: 1,103,253.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,068 : 735,302 = 735,302 : x
  2. Step 2: Convert to fraction form
    490,068/735,302 = 735,302/x
  3. Step 3: Cross multiply
    490,068x = 735,302 × 735,302
  4. Step 4: Simplify right side
    490,068x = 540,669,031,204
  5. Step 5: Solve for x
    x = 540,669,031,204/490,068
  6. Step 6: Final answer
    x = 1,103,253.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.