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Finding the Third Proportional to 349,998 and 524,889

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Solution

The third proportional to 349,998 and 524,889 is: 787,171.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,998 : 524,889 = 524,889 : x
  2. Step 2: Convert to fraction form
    349,998/524,889 = 524,889/x
  3. Step 3: Cross multiply
    349,998x = 524,889 × 524,889
  4. Step 4: Simplify right side
    349,998x = 275,508,462,321
  5. Step 5: Solve for x
    x = 275,508,462,321/349,998
  6. Step 6: Final answer
    x = 787,171.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.