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Finding the Third Proportional to 374,100 and 800,724

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Solution

The third proportional to 374,100 and 800,724 is: 1,713,870.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,100 : 800,724 = 800,724 : x
  2. Step 2: Convert to fraction form
    374,100/800,724 = 800,724/x
  3. Step 3: Cross multiply
    374,100x = 800,724 × 800,724
  4. Step 4: Simplify right side
    374,100x = 641,158,924,176
  5. Step 5: Solve for x
    x = 641,158,924,176/374,100
  6. Step 6: Final answer
    x = 1,713,870.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.