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Finding the Third Proportional to 335,721 and 725,061

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Solution

The third proportional to 335,721 and 725,061 is: 1,565,923.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,721 : 725,061 = 725,061 : x
  2. Step 2: Convert to fraction form
    335,721/725,061 = 725,061/x
  3. Step 3: Cross multiply
    335,721x = 725,061 × 725,061
  4. Step 4: Simplify right side
    335,721x = 525,713,453,721
  5. Step 5: Solve for x
    x = 525,713,453,721/335,721
  6. Step 6: Final answer
    x = 1,565,923.65

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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.