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Finding the Third Proportional to 400,982 and 544,733

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Solution

The third proportional to 400,982 and 544,733 is: 740,018.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,982 : 544,733 = 544,733 : x
  2. Step 2: Convert to fraction form
    400,982/544,733 = 544,733/x
  3. Step 3: Cross multiply
    400,982x = 544,733 × 544,733
  4. Step 4: Simplify right side
    400,982x = 296,734,041,289
  5. Step 5: Solve for x
    x = 296,734,041,289/400,982
  6. Step 6: Final answer
    x = 740,018.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.