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Finding the Third Proportional to 242,392.50 and 496,813.50

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Solution

The third proportional to 242,392.50 and 496,813.50 is: 1,018,280.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,392.50 : 496,813.50 = 496,813.50 : x
  2. Step 2: Convert to fraction form
    242,392.50/496,813.50 = 496,813.50/x
  3. Step 3: Cross multiply
    242,392.50x = 496,813.50 × 496,813.50
  4. Step 4: Simplify right side
    242,392.50x = 246,823,653,782.25
  5. Step 5: Solve for x
    x = 246,823,653,782.25/242,392.50
  6. Step 6: Final answer
    x = 1,018,280.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.