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Finding the Third Proportional to 326,942 and 506,452

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Solution

The third proportional to 326,942 and 506,452 is: 784,523.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,942 : 506,452 = 506,452 : x
  2. Step 2: Convert to fraction form
    326,942/506,452 = 506,452/x
  3. Step 3: Cross multiply
    326,942x = 506,452 × 506,452
  4. Step 4: Simplify right side
    326,942x = 256,493,628,304
  5. Step 5: Solve for x
    x = 256,493,628,304/326,942
  6. Step 6: Final answer
    x = 784,523.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.