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Finding the Third Proportional to 226,702.50 and 496,497

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Solution

The third proportional to 226,702.50 and 496,497 is: 1,087,369.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,702.50 : 496,497 = 496,497 : x
  2. Step 2: Convert to fraction form
    226,702.50/496,497 = 496,497/x
  3. Step 3: Cross multiply
    226,702.50x = 496,497 × 496,497
  4. Step 4: Simplify right side
    226,702.50x = 246,509,271,009
  5. Step 5: Solve for x
    x = 246,509,271,009/226,702.50
  6. Step 6: Final answer
    x = 1,087,369.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.