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Finding the Third Proportional to 374,320.50 and 811,701

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Solution

The third proportional to 374,320.50 and 811,701 is: 1,760,145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,320.50 : 811,701 = 811,701 : x
  2. Step 2: Convert to fraction form
    374,320.50/811,701 = 811,701/x
  3. Step 3: Cross multiply
    374,320.50x = 811,701 × 811,701
  4. Step 4: Simplify right side
    374,320.50x = 658,858,513,401
  5. Step 5: Solve for x
    x = 658,858,513,401/374,320.50
  6. Step 6: Final answer
    x = 1,760,145.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.