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Finding the Third Proportional to 535,410 and 829,035

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Solution

The third proportional to 535,410 and 829,035 is: 1,283,687.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,410 : 829,035 = 829,035 : x
  2. Step 2: Convert to fraction form
    535,410/829,035 = 829,035/x
  3. Step 3: Cross multiply
    535,410x = 829,035 × 829,035
  4. Step 4: Simplify right side
    535,410x = 687,299,031,225
  5. Step 5: Solve for x
    x = 687,299,031,225/535,410
  6. Step 6: Final answer
    x = 1,283,687.33

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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.