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Finding the Third Proportional to 326,258 and 459,452

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Solution

The third proportional to 326,258 and 459,452 is: 647,022.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,258 : 459,452 = 459,452 : x
  2. Step 2: Convert to fraction form
    326,258/459,452 = 459,452/x
  3. Step 3: Cross multiply
    326,258x = 459,452 × 459,452
  4. Step 4: Simplify right side
    326,258x = 211,096,140,304
  5. Step 5: Solve for x
    x = 211,096,140,304/326,258
  6. Step 6: Final answer
    x = 647,022.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.