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Finding the Third Proportional to 350,362 and 534,292

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Solution

The third proportional to 350,362 and 534,292 is: 814,779.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,362 : 534,292 = 534,292 : x
  2. Step 2: Convert to fraction form
    350,362/534,292 = 534,292/x
  3. Step 3: Cross multiply
    350,362x = 534,292 × 534,292
  4. Step 4: Simplify right side
    350,362x = 285,467,941,264
  5. Step 5: Solve for x
    x = 285,467,941,264/350,362
  6. Step 6: Final answer
    x = 814,779.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.