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Finding the Third Proportional to 328,840 and 493,304

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Solution

The third proportional to 328,840 and 493,304 is: 740,022.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,840 : 493,304 = 493,304 : x
  2. Step 2: Convert to fraction form
    328,840/493,304 = 493,304/x
  3. Step 3: Cross multiply
    328,840x = 493,304 × 493,304
  4. Step 4: Simplify right side
    328,840x = 243,348,836,416
  5. Step 5: Solve for x
    x = 243,348,836,416/328,840
  6. Step 6: Final answer
    x = 740,022.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.