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Finding the Third Proportional to 457,805.25 and 697,369.50

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Solution

The third proportional to 457,805.25 and 697,369.50 is: 1,062,294.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,805.25 : 697,369.50 = 697,369.50 : x
  2. Step 2: Convert to fraction form
    457,805.25/697,369.50 = 697,369.50/x
  3. Step 3: Cross multiply
    457,805.25x = 697,369.50 × 697,369.50
  4. Step 4: Simplify right side
    457,805.25x = 486,324,219,530.25
  5. Step 5: Solve for x
    x = 486,324,219,530.25/457,805.25
  6. Step 6: Final answer
    x = 1,062,294.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.