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Finding the Third Proportional to 454,303.50 and 983,836.50

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Solution

The third proportional to 454,303.50 and 983,836.50 is: 2,130,589.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,303.50 : 983,836.50 = 983,836.50 : x
  2. Step 2: Convert to fraction form
    454,303.50/983,836.50 = 983,836.50/x
  3. Step 3: Cross multiply
    454,303.50x = 983,836.50 × 983,836.50
  4. Step 4: Simplify right side
    454,303.50x = 967,934,258,732.25
  5. Step 5: Solve for x
    x = 967,934,258,732.25/454,303.50
  6. Step 6: Final answer
    x = 2,130,589.48

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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.