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Finding the Third Proportional to 234,046 and 503,644

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Solution

The third proportional to 234,046 and 503,644 is: 1,083,792.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,046 : 503,644 = 503,644 : x
  2. Step 2: Convert to fraction form
    234,046/503,644 = 503,644/x
  3. Step 3: Cross multiply
    234,046x = 503,644 × 503,644
  4. Step 4: Simplify right side
    234,046x = 253,657,278,736
  5. Step 5: Solve for x
    x = 253,657,278,736/234,046
  6. Step 6: Final answer
    x = 1,083,792.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.