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Finding the Third Proportional to 454,369.50 and 983,956.50

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Solution

The third proportional to 454,369.50 and 983,956.50 is: 2,130,799.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,369.50 : 983,956.50 = 983,956.50 : x
  2. Step 2: Convert to fraction form
    454,369.50/983,956.50 = 983,956.50/x
  3. Step 3: Cross multiply
    454,369.50x = 983,956.50 × 983,956.50
  4. Step 4: Simplify right side
    454,369.50x = 968,170,393,892.25
  5. Step 5: Solve for x
    x = 968,170,393,892.25/454,369.50
  6. Step 6: Final answer
    x = 2,130,799.70

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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.