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Finding the Third Proportional to 535,905 and 829,422

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Solution

The third proportional to 535,905 and 829,422 is: 1,283,699.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,905 : 829,422 = 829,422 : x
  2. Step 2: Convert to fraction form
    535,905/829,422 = 829,422/x
  3. Step 3: Cross multiply
    535,905x = 829,422 × 829,422
  4. Step 4: Simplify right side
    535,905x = 687,940,854,084
  5. Step 5: Solve for x
    x = 687,940,854,084/535,905
  6. Step 6: Final answer
    x = 1,283,699.26

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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.