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Finding the Third Proportional to 242,945 and 501,448

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Solution

The third proportional to 242,945 and 501,448 is: 1,035,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,945 : 501,448 = 501,448 : x
  2. Step 2: Convert to fraction form
    242,945/501,448 = 501,448/x
  3. Step 3: Cross multiply
    242,945x = 501,448 × 501,448
  4. Step 4: Simplify right side
    242,945x = 251,450,096,704
  5. Step 5: Solve for x
    x = 251,450,096,704/242,945
  6. Step 6: Final answer
    x = 1,035,008.32

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.