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Finding the Third Proportional to 400,031 and 562,694

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Solution

The third proportional to 400,031 and 562,694 is: 791,500.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,031 : 562,694 = 562,694 : x
  2. Step 2: Convert to fraction form
    400,031/562,694 = 562,694/x
  3. Step 3: Cross multiply
    400,031x = 562,694 × 562,694
  4. Step 4: Simplify right side
    400,031x = 316,624,537,636
  5. Step 5: Solve for x
    x = 316,624,537,636/400,031
  6. Step 6: Final answer
    x = 791,500.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.