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Finding the Third Proportional to 524,018 and 811,641

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Solution

The third proportional to 524,018 and 811,641 is: 1,257,134.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,018 : 811,641 = 811,641 : x
  2. Step 2: Convert to fraction form
    524,018/811,641 = 811,641/x
  3. Step 3: Cross multiply
    524,018x = 811,641 × 811,641
  4. Step 4: Simplify right side
    524,018x = 658,761,112,881
  5. Step 5: Solve for x
    x = 658,761,112,881/524,018
  6. Step 6: Final answer
    x = 1,257,134.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.