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Finding the Third Proportional to 352,904 and 532,644

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Solution

The third proportional to 352,904 and 532,644 is: 803,928.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,904 : 532,644 = 532,644 : x
  2. Step 2: Convert to fraction form
    352,904/532,644 = 532,644/x
  3. Step 3: Cross multiply
    352,904x = 532,644 × 532,644
  4. Step 4: Simplify right side
    352,904x = 283,709,630,736
  5. Step 5: Solve for x
    x = 283,709,630,736/352,904
  6. Step 6: Final answer
    x = 803,928.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.