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Finding the Third Proportional to 784,633.50 and 1,212,438.50

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Solution

The third proportional to 784,633.50 and 1,212,438.50 is: 1,873,495.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,633.50 : 1,212,438.50 = 1,212,438.50 : x
  2. Step 2: Convert to fraction form
    784,633.50/1,212,438.50 = 1,212,438.50/x
  3. Step 3: Cross multiply
    784,633.50x = 1,212,438.50 × 1,212,438.50
  4. Step 4: Simplify right side
    784,633.50x = 1,470,007,116,282.25
  5. Step 5: Solve for x
    x = 1,470,007,116,282.25/784,633.50
  6. Step 6: Final answer
    x = 1,873,495.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.