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Finding the Third Proportional to 442,138.50 and 947,312.72

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Solution

The third proportional to 442,138.50 and 947,312.72 is: 2,029,683.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,138.50 : 947,312.72 = 947,312.72 : x
  2. Step 2: Convert to fraction form
    442,138.50/947,312.72 = 947,312.72/x
  3. Step 3: Cross multiply
    442,138.50x = 947,312.72 × 947,312.72
  4. Step 4: Simplify right side
    442,138.50x = 897,401,387,105.52
  5. Step 5: Solve for x
    x = 897,401,387,105.52/442,138.50
  6. Step 6: Final answer
    x = 2,029,683.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.