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Finding the Third Proportional to 352,732 and 529,904

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Solution

The third proportional to 352,732 and 529,904 is: 796,066.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,732 : 529,904 = 529,904 : x
  2. Step 2: Convert to fraction form
    352,732/529,904 = 529,904/x
  3. Step 3: Cross multiply
    352,732x = 529,904 × 529,904
  4. Step 4: Simplify right side
    352,732x = 280,798,249,216
  5. Step 5: Solve for x
    x = 280,798,249,216/352,732
  6. Step 6: Final answer
    x = 796,066.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.