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Finding the Third Proportional to 339,232 and 736,784

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Solution

The third proportional to 339,232 and 736,784 is: 1,600,234.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,232 : 736,784 = 736,784 : x
  2. Step 2: Convert to fraction form
    339,232/736,784 = 736,784/x
  3. Step 3: Cross multiply
    339,232x = 736,784 × 736,784
  4. Step 4: Simplify right side
    339,232x = 542,850,662,656
  5. Step 5: Solve for x
    x = 542,850,662,656/339,232
  6. Step 6: Final answer
    x = 1,600,234.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.