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Finding the Third Proportional to 535,288 and 829,824

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Solution

The third proportional to 535,288 and 829,824 is: 1,286,425.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,288 : 829,824 = 829,824 : x
  2. Step 2: Convert to fraction form
    535,288/829,824 = 829,824/x
  3. Step 3: Cross multiply
    535,288x = 829,824 × 829,824
  4. Step 4: Simplify right side
    535,288x = 688,607,870,976
  5. Step 5: Solve for x
    x = 688,607,870,976/535,288
  6. Step 6: Final answer
    x = 1,286,425.01

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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.