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Finding the Third Proportional to 242,309 and 496,710

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Solution

The third proportional to 242,309 and 496,710 is: 1,018,207.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,309 : 496,710 = 496,710 : x
  2. Step 2: Convert to fraction form
    242,309/496,710 = 496,710/x
  3. Step 3: Cross multiply
    242,309x = 496,710 × 496,710
  4. Step 4: Simplify right side
    242,309x = 246,720,824,100
  5. Step 5: Solve for x
    x = 246,720,824,100/242,309
  6. Step 6: Final answer
    x = 1,018,207.43

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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.