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Finding the Third Proportional to 475,000 and 694,520

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Solution

The third proportional to 475,000 and 694,520 is: 1,015,490.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,000 : 694,520 = 694,520 : x
  2. Step 2: Convert to fraction form
    475,000/694,520 = 694,520/x
  3. Step 3: Cross multiply
    475,000x = 694,520 × 694,520
  4. Step 4: Simplify right side
    475,000x = 482,358,030,400
  5. Step 5: Solve for x
    x = 482,358,030,400/475,000
  6. Step 6: Final answer
    x = 1,015,490.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.