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Finding the Third Proportional to 352,085 and 760,295

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Solution

The third proportional to 352,085 and 760,295 is: 1,641,786.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,085 : 760,295 = 760,295 : x
  2. Step 2: Convert to fraction form
    352,085/760,295 = 760,295/x
  3. Step 3: Cross multiply
    352,085x = 760,295 × 760,295
  4. Step 4: Simplify right side
    352,085x = 578,048,487,025
  5. Step 5: Solve for x
    x = 578,048,487,025/352,085
  6. Step 6: Final answer
    x = 1,641,786.75

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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.