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Finding the Third Proportional to 242,646 and 527,208.75

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Solution

The third proportional to 242,646 and 527,208.75 is: 1,145,492.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,646 : 527,208.75 = 527,208.75 : x
  2. Step 2: Convert to fraction form
    242,646/527,208.75 = 527,208.75/x
  3. Step 3: Cross multiply
    242,646x = 527,208.75 × 527,208.75
  4. Step 4: Simplify right side
    242,646x = 277,949,066,076.56
  5. Step 5: Solve for x
    x = 277,949,066,076.56/242,646
  6. Step 6: Final answer
    x = 1,145,492.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.