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Finding the Third Proportional to 315,225 and 684,032

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Solution

The third proportional to 315,225 and 684,032 is: 1,484,335.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,225 : 684,032 = 684,032 : x
  2. Step 2: Convert to fraction form
    315,225/684,032 = 684,032/x
  3. Step 3: Cross multiply
    315,225x = 684,032 × 684,032
  4. Step 4: Simplify right side
    315,225x = 467,899,777,024
  5. Step 5: Solve for x
    x = 467,899,777,024/315,225
  6. Step 6: Final answer
    x = 1,484,335.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.