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Finding the Third Proportional to 352,075 and 760,265

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Solution

The third proportional to 352,075 and 760,265 is: 1,641,703.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,075 : 760,265 = 760,265 : x
  2. Step 2: Convert to fraction form
    352,075/760,265 = 760,265/x
  3. Step 3: Cross multiply
    352,075x = 760,265 × 760,265
  4. Step 4: Simplify right side
    352,075x = 578,002,870,225
  5. Step 5: Solve for x
    x = 578,002,870,225/352,075
  6. Step 6: Final answer
    x = 1,641,703.81

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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.