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Finding the Third Proportional to 242,372 and 507,016

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Solution

The third proportional to 242,372 and 507,016 is: 1,060,622.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,372 : 507,016 = 507,016 : x
  2. Step 2: Convert to fraction form
    242,372/507,016 = 507,016/x
  3. Step 3: Cross multiply
    242,372x = 507,016 × 507,016
  4. Step 4: Simplify right side
    242,372x = 257,065,224,256
  5. Step 5: Solve for x
    x = 257,065,224,256/242,372
  6. Step 6: Final answer
    x = 1,060,622.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.