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Finding the Third Proportional to 236,458 and 503,587

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Solution

The third proportional to 236,458 and 503,587 is: 1,072,494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,458 : 503,587 = 503,587 : x
  2. Step 2: Convert to fraction form
    236,458/503,587 = 503,587/x
  3. Step 3: Cross multiply
    236,458x = 503,587 × 503,587
  4. Step 4: Simplify right side
    236,458x = 253,599,866,569
  5. Step 5: Solve for x
    x = 253,599,866,569/236,458
  6. Step 6: Final answer
    x = 1,072,494.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.