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Finding the Third Proportional to 335,032 and 722,552.50

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Solution

The third proportional to 335,032 and 722,552.50 is: 1,558,305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,032 : 722,552.50 = 722,552.50 : x
  2. Step 2: Convert to fraction form
    335,032/722,552.50 = 722,552.50/x
  3. Step 3: Cross multiply
    335,032x = 722,552.50 × 722,552.50
  4. Step 4: Simplify right side
    335,032x = 522,082,115,256.25
  5. Step 5: Solve for x
    x = 522,082,115,256.25/335,032
  6. Step 6: Final answer
    x = 1,558,305.22

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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.