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Finding the Third Proportional to 320,948 and 496,702

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Solution

The third proportional to 320,948 and 496,702 is: 768,700.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,948 : 496,702 = 496,702 : x
  2. Step 2: Convert to fraction form
    320,948/496,702 = 496,702/x
  3. Step 3: Cross multiply
    320,948x = 496,702 × 496,702
  4. Step 4: Simplify right side
    320,948x = 246,712,876,804
  5. Step 5: Solve for x
    x = 246,712,876,804/320,948
  6. Step 6: Final answer
    x = 768,700.46

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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.