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Finding the Third Proportional to 352,078 and 760,271

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Solution

The third proportional to 352,078 and 760,271 is: 1,641,715.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,078 : 760,271 = 760,271 : x
  2. Step 2: Convert to fraction form
    352,078/760,271 = 760,271/x
  3. Step 3: Cross multiply
    352,078x = 760,271 × 760,271
  4. Step 4: Simplify right side
    352,078x = 578,011,993,441
  5. Step 5: Solve for x
    x = 578,011,993,441/352,078
  6. Step 6: Final answer
    x = 1,641,715.74

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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.