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Finding the Third Proportional to 374,049 and 801,693

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Solution

The third proportional to 374,049 and 801,693 is: 1,718,255.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,049 : 801,693 = 801,693 : x
  2. Step 2: Convert to fraction form
    374,049/801,693 = 801,693/x
  3. Step 3: Cross multiply
    374,049x = 801,693 × 801,693
  4. Step 4: Simplify right side
    374,049x = 642,711,666,249
  5. Step 5: Solve for x
    x = 642,711,666,249/374,049
  6. Step 6: Final answer
    x = 1,718,255.27

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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.