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Finding the Third Proportional to 353,012 and 538,750

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Solution

The third proportional to 353,012 and 538,750 is: 822,214.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,012 : 538,750 = 538,750 : x
  2. Step 2: Convert to fraction form
    353,012/538,750 = 538,750/x
  3. Step 3: Cross multiply
    353,012x = 538,750 × 538,750
  4. Step 4: Simplify right side
    353,012x = 290,251,562,500
  5. Step 5: Solve for x
    x = 290,251,562,500/353,012
  6. Step 6: Final answer
    x = 822,214.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.