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Finding the Third Proportional to 339,132 and 730,752

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Solution

The third proportional to 339,132 and 730,752 is: 1,574,603.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,132 : 730,752 = 730,752 : x
  2. Step 2: Convert to fraction form
    339,132/730,752 = 730,752/x
  3. Step 3: Cross multiply
    339,132x = 730,752 × 730,752
  4. Step 4: Simplify right side
    339,132x = 533,998,485,504
  5. Step 5: Solve for x
    x = 533,998,485,504/339,132
  6. Step 6: Final answer
    x = 1,574,603.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.