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Finding the Third Proportional to 335,128 and 722,726

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Solution

The third proportional to 335,128 and 722,726 is: 1,558,607.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,128 : 722,726 = 722,726 : x
  2. Step 2: Convert to fraction form
    335,128/722,726 = 722,726/x
  3. Step 3: Cross multiply
    335,128x = 722,726 × 722,726
  4. Step 4: Simplify right side
    335,128x = 522,332,871,076
  5. Step 5: Solve for x
    x = 522,332,871,076/335,128
  6. Step 6: Final answer
    x = 1,558,607.07

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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.