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Finding the Third Proportional to 336,960 and 734,184

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Solution

The third proportional to 336,960 and 734,184 is: 1,599,673.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,960 : 734,184 = 734,184 : x
  2. Step 2: Convert to fraction form
    336,960/734,184 = 734,184/x
  3. Step 3: Cross multiply
    336,960x = 734,184 × 734,184
  4. Step 4: Simplify right side
    336,960x = 539,026,145,856
  5. Step 5: Solve for x
    x = 539,026,145,856/336,960
  6. Step 6: Final answer
    x = 1,599,673.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.