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Finding the Third Proportional to 335,662 and 729,760

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Solution

The third proportional to 335,662 and 729,760 is: 1,586,565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,662 : 729,760 = 729,760 : x
  2. Step 2: Convert to fraction form
    335,662/729,760 = 729,760/x
  3. Step 3: Cross multiply
    335,662x = 729,760 × 729,760
  4. Step 4: Simplify right side
    335,662x = 532,549,657,600
  5. Step 5: Solve for x
    x = 532,549,657,600/335,662
  6. Step 6: Final answer
    x = 1,586,565.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.