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Finding the Third Proportional to 356,995 and 475,940

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Solution

The third proportional to 356,995 and 475,940 is: 634,515.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,995 : 475,940 = 475,940 : x
  2. Step 2: Convert to fraction form
    356,995/475,940 = 475,940/x
  3. Step 3: Cross multiply
    356,995x = 475,940 × 475,940
  4. Step 4: Simplify right side
    356,995x = 226,518,883,600
  5. Step 5: Solve for x
    x = 226,518,883,600/356,995
  6. Step 6: Final answer
    x = 634,515.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.