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Finding the Third Proportional to 535,913 and 829,434

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Solution

The third proportional to 535,913 and 829,434 is: 1,283,717.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,913 : 829,434 = 829,434 : x
  2. Step 2: Convert to fraction form
    535,913/829,434 = 829,434/x
  3. Step 3: Cross multiply
    535,913x = 829,434 × 829,434
  4. Step 4: Simplify right side
    535,913x = 687,960,760,356
  5. Step 5: Solve for x
    x = 687,960,760,356/535,913
  6. Step 6: Final answer
    x = 1,283,717.25

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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.