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Finding the Third Proportional to 341,178 and 534,000

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Solution

The third proportional to 341,178 and 534,000 is: 835,798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,178 : 534,000 = 534,000 : x
  2. Step 2: Convert to fraction form
    341,178/534,000 = 534,000/x
  3. Step 3: Cross multiply
    341,178x = 534,000 × 534,000
  4. Step 4: Simplify right side
    341,178x = 285,156,000,000
  5. Step 5: Solve for x
    x = 285,156,000,000/341,178
  6. Step 6: Final answer
    x = 835,798.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.