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Finding the Third Proportional to 427,607.25 and 923,011.50

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Solution

The third proportional to 427,607.25 and 923,011.50 is: 1,992,366.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,607.25 : 923,011.50 = 923,011.50 : x
  2. Step 2: Convert to fraction form
    427,607.25/923,011.50 = 923,011.50/x
  3. Step 3: Cross multiply
    427,607.25x = 923,011.50 × 923,011.50
  4. Step 4: Simplify right side
    427,607.25x = 851,950,229,132.25
  5. Step 5: Solve for x
    x = 851,950,229,132.25/427,607.25
  6. Step 6: Final answer
    x = 1,992,366.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.