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Finding the Third Proportional to 352,092 and 760,309

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Solution

The third proportional to 352,092 and 760,309 is: 1,641,814.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,092 : 760,309 = 760,309 : x
  2. Step 2: Convert to fraction form
    352,092/760,309 = 760,309/x
  3. Step 3: Cross multiply
    352,092x = 760,309 × 760,309
  4. Step 4: Simplify right side
    352,092x = 578,069,775,481
  5. Step 5: Solve for x
    x = 578,069,775,481/352,092
  6. Step 6: Final answer
    x = 1,641,814.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.