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Finding the Third Proportional to 326,972 and 506,496

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Solution

The third proportional to 326,972 and 506,496 is: 784,587.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,972 : 506,496 = 506,496 : x
  2. Step 2: Convert to fraction form
    326,972/506,496 = 506,496/x
  3. Step 3: Cross multiply
    326,972x = 506,496 × 506,496
  4. Step 4: Simplify right side
    326,972x = 256,538,198,016
  5. Step 5: Solve for x
    x = 256,538,198,016/326,972
  6. Step 6: Final answer
    x = 784,587.67

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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.