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Finding the Third Proportional to 242,702.50 and 504,773

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Solution

The third proportional to 242,702.50 and 504,773 is: 1,049,827.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,702.50 : 504,773 = 504,773 : x
  2. Step 2: Convert to fraction form
    242,702.50/504,773 = 504,773/x
  3. Step 3: Cross multiply
    242,702.50x = 504,773 × 504,773
  4. Step 4: Simplify right side
    242,702.50x = 254,795,781,529
  5. Step 5: Solve for x
    x = 254,795,781,529/242,702.50
  6. Step 6: Final answer
    x = 1,049,827.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.