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Finding the Third Proportional to 319,572 and 496,800

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Solution

The third proportional to 319,572 and 496,800 is: 772,314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,572 : 496,800 = 496,800 : x
  2. Step 2: Convert to fraction form
    319,572/496,800 = 496,800/x
  3. Step 3: Cross multiply
    319,572x = 496,800 × 496,800
  4. Step 4: Simplify right side
    319,572x = 246,810,240,000
  5. Step 5: Solve for x
    x = 246,810,240,000/319,572
  6. Step 6: Final answer
    x = 772,314.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.