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Finding the Third Proportional to 476,508 and 738,121.50

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Solution

The third proportional to 476,508 and 738,121.50 is: 1,143,366.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,508 : 738,121.50 = 738,121.50 : x
  2. Step 2: Convert to fraction form
    476,508/738,121.50 = 738,121.50/x
  3. Step 3: Cross multiply
    476,508x = 738,121.50 × 738,121.50
  4. Step 4: Simplify right side
    476,508x = 544,823,348,762.25
  5. Step 5: Solve for x
    x = 544,823,348,762.25/476,508
  6. Step 6: Final answer
    x = 1,143,366.64

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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.