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Finding the Third Proportional to 535,912 and 829,431

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Solution

The third proportional to 535,912 and 829,431 is: 1,283,710.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,912 : 829,431 = 829,431 : x
  2. Step 2: Convert to fraction form
    535,912/829,431 = 829,431/x
  3. Step 3: Cross multiply
    535,912x = 829,431 × 829,431
  4. Step 4: Simplify right side
    535,912x = 687,955,783,761
  5. Step 5: Solve for x
    x = 687,955,783,761/535,912
  6. Step 6: Final answer
    x = 1,283,710.35

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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.