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Finding the Third Proportional to 352,078 and 760,272

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Solution

The third proportional to 352,078 and 760,272 is: 1,641,720.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,078 : 760,272 = 760,272 : x
  2. Step 2: Convert to fraction form
    352,078/760,272 = 760,272/x
  3. Step 3: Cross multiply
    352,078x = 760,272 × 760,272
  4. Step 4: Simplify right side
    352,078x = 578,013,513,984
  5. Step 5: Solve for x
    x = 578,013,513,984/352,078
  6. Step 6: Final answer
    x = 1,641,720.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.