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Finding the Third Proportional to 326,970 and 506,493

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Solution

The third proportional to 326,970 and 506,493 is: 784,583.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,970 : 506,493 = 506,493 : x
  2. Step 2: Convert to fraction form
    326,970/506,493 = 506,493/x
  3. Step 3: Cross multiply
    326,970x = 506,493 × 506,493
  4. Step 4: Simplify right side
    326,970x = 256,535,159,049
  5. Step 5: Solve for x
    x = 256,535,159,049/326,970
  6. Step 6: Final answer
    x = 784,583.17

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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.