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Finding the Third Proportional to 242,790.75 and 529,868.25

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Solution

The third proportional to 242,790.75 and 529,868.25 is: 1,156,388.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,790.75 : 529,868.25 = 529,868.25 : x
  2. Step 2: Convert to fraction form
    242,790.75/529,868.25 = 529,868.25/x
  3. Step 3: Cross multiply
    242,790.75x = 529,868.25 × 529,868.25
  4. Step 4: Simplify right side
    242,790.75x = 280,760,362,358.06
  5. Step 5: Solve for x
    x = 280,760,362,358.06/242,790.75
  6. Step 6: Final answer
    x = 1,156,388.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.