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Finding the Third Proportional to 519,914 and 695,424

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Solution

The third proportional to 519,914 and 695,424 is: 930,181.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,914 : 695,424 = 695,424 : x
  2. Step 2: Convert to fraction form
    519,914/695,424 = 695,424/x
  3. Step 3: Cross multiply
    519,914x = 695,424 × 695,424
  4. Step 4: Simplify right side
    519,914x = 483,614,539,776
  5. Step 5: Solve for x
    x = 483,614,539,776/519,914
  6. Step 6: Final answer
    x = 930,181.80

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.