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Finding the Third Proportional to 335,072 and 722,628

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Solution

The third proportional to 335,072 and 722,628 is: 1,558,444.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,072 : 722,628 = 722,628 : x
  2. Step 2: Convert to fraction form
    335,072/722,628 = 722,628/x
  3. Step 3: Cross multiply
    335,072x = 722,628 × 722,628
  4. Step 4: Simplify right side
    335,072x = 522,191,226,384
  5. Step 5: Solve for x
    x = 522,191,226,384/335,072
  6. Step 6: Final answer
    x = 1,558,444.83

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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.