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Finding the Third Proportional to 457,963.50 and 978,951

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Solution

The third proportional to 457,963.50 and 978,951 is: 2,092,623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,963.50 : 978,951 = 978,951 : x
  2. Step 2: Convert to fraction form
    457,963.50/978,951 = 978,951/x
  3. Step 3: Cross multiply
    457,963.50x = 978,951 × 978,951
  4. Step 4: Simplify right side
    457,963.50x = 958,345,060,401
  5. Step 5: Solve for x
    x = 958,345,060,401/457,963.50
  6. Step 6: Final answer
    x = 2,092,623.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.