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Finding the Third Proportional to 524,380 and 801,852

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Solution

The third proportional to 524,380 and 801,852 is: 1,226,146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,380 : 801,852 = 801,852 : x
  2. Step 2: Convert to fraction form
    524,380/801,852 = 801,852/x
  3. Step 3: Cross multiply
    524,380x = 801,852 × 801,852
  4. Step 4: Simplify right side
    524,380x = 642,966,629,904
  5. Step 5: Solve for x
    x = 642,966,629,904/524,380
  6. Step 6: Final answer
    x = 1,226,146.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.