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Finding the Third Proportional to 352,024.31 and 722,710.27

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Solution

The third proportional to 352,024.31 and 722,710.27 is: 1,483,733.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,024.31 : 722,710.27 = 722,710.27 : x
  2. Step 2: Convert to fraction form
    352,024.31/722,710.27 = 722,710.27/x
  3. Step 3: Cross multiply
    352,024.31x = 722,710.27 × 722,710.27
  4. Step 4: Simplify right side
    352,024.31x = 522,310,128,039.76
  5. Step 5: Solve for x
    x = 522,310,128,039.76/352,024.31
  6. Step 6: Final answer
    x = 1,483,733.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.