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Finding the Third Proportional to 326,304 and 722,484

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Solution

The third proportional to 326,304 and 722,484 is: 1,599,683.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,304 : 722,484 = 722,484 : x
  2. Step 2: Convert to fraction form
    326,304/722,484 = 722,484/x
  3. Step 3: Cross multiply
    326,304x = 722,484 × 722,484
  4. Step 4: Simplify right side
    326,304x = 521,983,130,256
  5. Step 5: Solve for x
    x = 521,983,130,256/326,304
  6. Step 6: Final answer
    x = 1,599,683.52

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.