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Finding the Third Proportional to 368,355 and 802,299

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Solution

The third proportional to 368,355 and 802,299 is: 1,747,454.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,355 : 802,299 = 802,299 : x
  2. Step 2: Convert to fraction form
    368,355/802,299 = 802,299/x
  3. Step 3: Cross multiply
    368,355x = 802,299 × 802,299
  4. Step 4: Simplify right side
    368,355x = 643,683,685,401
  5. Step 5: Solve for x
    x = 643,683,685,401/368,355
  6. Step 6: Final answer
    x = 1,747,454.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.