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Finding the Third Proportional to 344,484 and 743,304

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Solution

The third proportional to 344,484 and 743,304 is: 1,603,850.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,484 : 743,304 = 743,304 : x
  2. Step 2: Convert to fraction form
    344,484/743,304 = 743,304/x
  3. Step 3: Cross multiply
    344,484x = 743,304 × 743,304
  4. Step 4: Simplify right side
    344,484x = 552,500,836,416
  5. Step 5: Solve for x
    x = 552,500,836,416/344,484
  6. Step 6: Final answer
    x = 1,603,850.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.