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Finding the Third Proportional to 349,429.50 and 764,284.50

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Solution

The third proportional to 349,429.50 and 764,284.50 is: 1,671,669.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,429.50 : 764,284.50 = 764,284.50 : x
  2. Step 2: Convert to fraction form
    349,429.50/764,284.50 = 764,284.50/x
  3. Step 3: Cross multiply
    349,429.50x = 764,284.50 × 764,284.50
  4. Step 4: Simplify right side
    349,429.50x = 584,130,796,940.25
  5. Step 5: Solve for x
    x = 584,130,796,940.25/349,429.50
  6. Step 6: Final answer
    x = 1,671,669.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.