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Finding the Third Proportional to 352,437.75 and 567,476.30

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Solution

The third proportional to 352,437.75 and 567,476.30 is: 913,719.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,437.75 : 567,476.30 = 567,476.30 : x
  2. Step 2: Convert to fraction form
    352,437.75/567,476.30 = 567,476.30/x
  3. Step 3: Cross multiply
    352,437.75x = 567,476.30 × 567,476.30
  4. Step 4: Simplify right side
    352,437.75x = 322,029,347,514.96
  5. Step 5: Solve for x
    x = 322,029,347,514.96/352,437.75
  6. Step 6: Final answer
    x = 913,719.79

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.