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Finding the Third Proportional to 393,480 and 594,900

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Solution

The third proportional to 393,480 and 594,900 is: 899,425.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,480 : 594,900 = 594,900 : x
  2. Step 2: Convert to fraction form
    393,480/594,900 = 594,900/x
  3. Step 3: Cross multiply
    393,480x = 594,900 × 594,900
  4. Step 4: Simplify right side
    393,480x = 353,906,010,000
  5. Step 5: Solve for x
    x = 353,906,010,000/393,480
  6. Step 6: Final answer
    x = 899,425.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.