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Finding the Third Proportional to 349,903.75 and 524,764.50

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Solution

The third proportional to 349,903.75 and 524,764.50 is: 787,010.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,903.75 : 524,764.50 = 524,764.50 : x
  2. Step 2: Convert to fraction form
    349,903.75/524,764.50 = 524,764.50/x
  3. Step 3: Cross multiply
    349,903.75x = 524,764.50 × 524,764.50
  4. Step 4: Simplify right side
    349,903.75x = 275,377,780,460.25
  5. Step 5: Solve for x
    x = 275,377,780,460.25/349,903.75
  6. Step 6: Final answer
    x = 787,010.09

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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.