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Finding the Third Proportional to 320,973 and 496,730

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Solution

The third proportional to 320,973 and 496,730 is: 768,727.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,973 : 496,730 = 496,730 : x
  2. Step 2: Convert to fraction form
    320,973/496,730 = 496,730/x
  3. Step 3: Cross multiply
    320,973x = 496,730 × 496,730
  4. Step 4: Simplify right side
    320,973x = 246,740,692,900
  5. Step 5: Solve for x
    x = 246,740,692,900/320,973
  6. Step 6: Final answer
    x = 768,727.25

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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.