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Finding the Third Proportional to 230,383 and 360,623

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Solution

The third proportional to 230,383 and 360,623 is: 564,490.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,383 : 360,623 = 360,623 : x
  2. Step 2: Convert to fraction form
    230,383/360,623 = 360,623/x
  3. Step 3: Cross multiply
    230,383x = 360,623 × 360,623
  4. Step 4: Simplify right side
    230,383x = 130,048,948,129
  5. Step 5: Solve for x
    x = 130,048,948,129/230,383
  6. Step 6: Final answer
    x = 564,490.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.