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Finding the Third Proportional to 352,005 and 504,423

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Solution

The third proportional to 352,005 and 504,423 is: 722,837.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,005 : 504,423 = 504,423 : x
  2. Step 2: Convert to fraction form
    352,005/504,423 = 504,423/x
  3. Step 3: Cross multiply
    352,005x = 504,423 × 504,423
  4. Step 4: Simplify right side
    352,005x = 254,442,562,929
  5. Step 5: Solve for x
    x = 254,442,562,929/352,005
  6. Step 6: Final answer
    x = 722,837.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.