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Finding the Third Proportional to 334,444 and 732,324

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Solution

The third proportional to 334,444 and 732,324 is: 1,603,552.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,444 : 732,324 = 732,324 : x
  2. Step 2: Convert to fraction form
    334,444/732,324 = 732,324/x
  3. Step 3: Cross multiply
    334,444x = 732,324 × 732,324
  4. Step 4: Simplify right side
    334,444x = 536,298,440,976
  5. Step 5: Solve for x
    x = 536,298,440,976/334,444
  6. Step 6: Final answer
    x = 1,603,552.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.