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Finding the Third Proportional to 339,216 and 736,752

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Solution

The third proportional to 339,216 and 736,752 is: 1,600,170.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,216 : 736,752 = 736,752 : x
  2. Step 2: Convert to fraction form
    339,216/736,752 = 736,752/x
  3. Step 3: Cross multiply
    339,216x = 736,752 × 736,752
  4. Step 4: Simplify right side
    339,216x = 542,803,509,504
  5. Step 5: Solve for x
    x = 542,803,509,504/339,216
  6. Step 6: Final answer
    x = 1,600,170.72

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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.