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Finding the Third Proportional to 341,330 and 734,178

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Solution

The third proportional to 341,330 and 734,178 is: 1,579,167.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,330 : 734,178 = 734,178 : x
  2. Step 2: Convert to fraction form
    341,330/734,178 = 734,178/x
  3. Step 3: Cross multiply
    341,330x = 734,178 × 734,178
  4. Step 4: Simplify right side
    341,330x = 539,017,335,684
  5. Step 5: Solve for x
    x = 539,017,335,684/341,330
  6. Step 6: Final answer
    x = 1,579,167.77

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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.