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Finding the Third Proportional to 535,870 and 829,383

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Solution

The third proportional to 535,870 and 829,383 is: 1,283,662.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,870 : 829,383 = 829,383 : x
  2. Step 2: Convert to fraction form
    535,870/829,383 = 829,383/x
  3. Step 3: Cross multiply
    535,870x = 829,383 × 829,383
  4. Step 4: Simplify right side
    535,870x = 687,876,160,689
  5. Step 5: Solve for x
    x = 687,876,160,689/535,870
  6. Step 6: Final answer
    x = 1,283,662.38

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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.