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Finding the Third Proportional to 326,304 and 459,510

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Solution

The third proportional to 326,304 and 459,510 is: 647,094.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,304 : 459,510 = 459,510 : x
  2. Step 2: Convert to fraction form
    326,304/459,510 = 459,510/x
  3. Step 3: Cross multiply
    326,304x = 459,510 × 459,510
  4. Step 4: Simplify right side
    326,304x = 211,149,440,100
  5. Step 5: Solve for x
    x = 211,149,440,100/326,304
  6. Step 6: Final answer
    x = 647,094.24

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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.