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Finding the Third Proportional to 234,720 and 505,944

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Solution

The third proportional to 234,720 and 505,944 is: 1,090,573.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,720 : 505,944 = 505,944 : x
  2. Step 2: Convert to fraction form
    234,720/505,944 = 505,944/x
  3. Step 3: Cross multiply
    234,720x = 505,944 × 505,944
  4. Step 4: Simplify right side
    234,720x = 255,979,331,136
  5. Step 5: Solve for x
    x = 255,979,331,136/234,720
  6. Step 6: Final answer
    x = 1,090,573.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.