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Finding the Third Proportional to 242,404 and 520,788

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Solution

The third proportional to 242,404 and 520,788 is: 1,118,876.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,404 : 520,788 = 520,788 : x
  2. Step 2: Convert to fraction form
    242,404/520,788 = 520,788/x
  3. Step 3: Cross multiply
    242,404x = 520,788 × 520,788
  4. Step 4: Simplify right side
    242,404x = 271,220,140,944
  5. Step 5: Solve for x
    x = 271,220,140,944/242,404
  6. Step 6: Final answer
    x = 1,118,876.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.