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Finding the Third Proportional to 506,538 and 802,092

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Solution

The third proportional to 506,538 and 802,092 is: 1,270,095.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,538 : 802,092 = 802,092 : x
  2. Step 2: Convert to fraction form
    506,538/802,092 = 802,092/x
  3. Step 3: Cross multiply
    506,538x = 802,092 × 802,092
  4. Step 4: Simplify right side
    506,538x = 643,351,576,464
  5. Step 5: Solve for x
    x = 643,351,576,464/506,538
  6. Step 6: Final answer
    x = 1,270,095.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.