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Finding the Third Proportional to 535,904 and 829,436

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Solution

The third proportional to 535,904 and 829,436 is: 1,283,745.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,904 : 829,436 = 829,436 : x
  2. Step 2: Convert to fraction form
    535,904/829,436 = 829,436/x
  3. Step 3: Cross multiply
    535,904x = 829,436 × 829,436
  4. Step 4: Simplify right side
    535,904x = 687,964,078,096
  5. Step 5: Solve for x
    x = 687,964,078,096/535,904
  6. Step 6: Final answer
    x = 1,283,745.00

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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.