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Finding the Third Proportional to 230,640 and 501,648

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Solution

The third proportional to 230,640 and 501,648 is: 1,091,097.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,640 : 501,648 = 501,648 : x
  2. Step 2: Convert to fraction form
    230,640/501,648 = 501,648/x
  3. Step 3: Cross multiply
    230,640x = 501,648 × 501,648
  4. Step 4: Simplify right side
    230,640x = 251,650,715,904
  5. Step 5: Solve for x
    x = 251,650,715,904/230,640
  6. Step 6: Final answer
    x = 1,091,097.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.