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Finding the Third Proportional to 288,695 and 695,493.50

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Solution

The third proportional to 288,695 and 695,493.50 is: 1,675,509.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,695 : 695,493.50 = 695,493.50 : x
  2. Step 2: Convert to fraction form
    288,695/695,493.50 = 695,493.50/x
  3. Step 3: Cross multiply
    288,695x = 695,493.50 × 695,493.50
  4. Step 4: Simplify right side
    288,695x = 483,711,208,542.25
  5. Step 5: Solve for x
    x = 483,711,208,542.25/288,695
  6. Step 6: Final answer
    x = 1,675,509.48

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.