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Finding the Third Proportional to 684,463.50 and 1,025,653.50

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Solution

The third proportional to 684,463.50 and 1,025,653.50 is: 1,536,919.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,463.50 : 1,025,653.50 = 1,025,653.50 : x
  2. Step 2: Convert to fraction form
    684,463.50/1,025,653.50 = 1,025,653.50/x
  3. Step 3: Cross multiply
    684,463.50x = 1,025,653.50 × 1,025,653.50
  4. Step 4: Simplify right side
    684,463.50x = 1,051,965,102,062.25
  5. Step 5: Solve for x
    x = 1,051,965,102,062.25/684,463.50
  6. Step 6: Final answer
    x = 1,536,919.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.