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Finding the Third Proportional to 231,432 and 507,252

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Solution

The third proportional to 231,432 and 507,252 is: 1,111,793.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,432 : 507,252 = 507,252 : x
  2. Step 2: Convert to fraction form
    231,432/507,252 = 507,252/x
  3. Step 3: Cross multiply
    231,432x = 507,252 × 507,252
  4. Step 4: Simplify right side
    231,432x = 257,304,591,504
  5. Step 5: Solve for x
    x = 257,304,591,504/231,432
  6. Step 6: Final answer
    x = 1,111,793.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.