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Finding the Third Proportional to 315,192 and 472,788

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Solution

The third proportional to 315,192 and 472,788 is: 709,182

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,192 : 472,788 = 472,788 : x
  2. Step 2: Convert to fraction form
    315,192/472,788 = 472,788/x
  3. Step 3: Cross multiply
    315,192x = 472,788 × 472,788
  4. Step 4: Simplify right side
    315,192x = 223,528,492,944
  5. Step 5: Solve for x
    x = 223,528,492,944/315,192
  6. Step 6: Final answer
    x = 709,182

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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.