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Finding the Third Proportional to 232,999 and 475,778

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Solution

The third proportional to 232,999 and 475,778 is: 971,526.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,999 : 475,778 = 475,778 : x
  2. Step 2: Convert to fraction form
    232,999/475,778 = 475,778/x
  3. Step 3: Cross multiply
    232,999x = 475,778 × 475,778
  4. Step 4: Simplify right side
    232,999x = 226,364,705,284
  5. Step 5: Solve for x
    x = 226,364,705,284/232,999
  6. Step 6: Final answer
    x = 971,526.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.