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Finding the Third Proportional to 352,581.75 and 761,271.75

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Solution

The third proportional to 352,581.75 and 761,271.75 is: 1,643,688.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,581.75 : 761,271.75 = 761,271.75 : x
  2. Step 2: Convert to fraction form
    352,581.75/761,271.75 = 761,271.75/x
  3. Step 3: Cross multiply
    352,581.75x = 761,271.75 × 761,271.75
  4. Step 4: Simplify right side
    352,581.75x = 579,534,677,348.06
  5. Step 5: Solve for x
    x = 579,534,677,348.06/352,581.75
  6. Step 6: Final answer
    x = 1,643,688.81

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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.