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Finding the Third Proportional to 337,944 and 713,904

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Solution

The third proportional to 337,944 and 713,904 is: 1,508,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,944 : 713,904 = 713,904 : x
  2. Step 2: Convert to fraction form
    337,944/713,904 = 713,904/x
  3. Step 3: Cross multiply
    337,944x = 713,904 × 713,904
  4. Step 4: Simplify right side
    337,944x = 509,658,921,216
  5. Step 5: Solve for x
    x = 509,658,921,216/337,944
  6. Step 6: Final answer
    x = 1,508,116.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.