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Finding the Third Proportional to 431,419.50 and 937,384.50

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Solution

The third proportional to 431,419.50 and 937,384.50 is: 2,036,740.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,419.50 : 937,384.50 = 937,384.50 : x
  2. Step 2: Convert to fraction form
    431,419.50/937,384.50 = 937,384.50/x
  3. Step 3: Cross multiply
    431,419.50x = 937,384.50 × 937,384.50
  4. Step 4: Simplify right side
    431,419.50x = 878,689,700,840.25
  5. Step 5: Solve for x
    x = 878,689,700,840.25/431,419.50
  6. Step 6: Final answer
    x = 2,036,740.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.