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Finding the Third Proportional to 320,919 and 695,350

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Solution

The third proportional to 320,919 and 695,350 is: 1,506,646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,919 : 695,350 = 695,350 : x
  2. Step 2: Convert to fraction form
    320,919/695,350 = 695,350/x
  3. Step 3: Cross multiply
    320,919x = 695,350 × 695,350
  4. Step 4: Simplify right side
    320,919x = 483,511,622,500
  5. Step 5: Solve for x
    x = 483,511,622,500/320,919
  6. Step 6: Final answer
    x = 1,506,646.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.