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Finding the Third Proportional to 335,099 and 722,673

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Solution

The third proportional to 335,099 and 722,673 is: 1,558,513.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,099 : 722,673 = 722,673 : x
  2. Step 2: Convert to fraction form
    335,099/722,673 = 722,673/x
  3. Step 3: Cross multiply
    335,099x = 722,673 × 722,673
  4. Step 4: Simplify right side
    335,099x = 522,256,264,929
  5. Step 5: Solve for x
    x = 522,256,264,929/335,099
  6. Step 6: Final answer
    x = 1,558,513.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.