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Finding the Third Proportional to 335,710 and 746,012

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Solution

The third proportional to 335,710 and 746,012 is: 1,657,781.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,710 : 746,012 = 746,012 : x
  2. Step 2: Convert to fraction form
    335,710/746,012 = 746,012/x
  3. Step 3: Cross multiply
    335,710x = 746,012 × 746,012
  4. Step 4: Simplify right side
    335,710x = 556,533,904,144
  5. Step 5: Solve for x
    x = 556,533,904,144/335,710
  6. Step 6: Final answer
    x = 1,657,781.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.