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Finding the Third Proportional to 451,302 and 983,542.50

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Solution

The third proportional to 451,302 and 983,542.50 is: 2,143,477.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,302 : 983,542.50 = 983,542.50 : x
  2. Step 2: Convert to fraction form
    451,302/983,542.50 = 983,542.50/x
  3. Step 3: Cross multiply
    451,302x = 983,542.50 × 983,542.50
  4. Step 4: Simplify right side
    451,302x = 967,355,849,306.25
  5. Step 5: Solve for x
    x = 967,355,849,306.25/451,302
  6. Step 6: Final answer
    x = 2,143,477.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.