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Finding the Third Proportional to 349,968 and 764,088

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Solution

The third proportional to 349,968 and 764,088 is: 1,668,239.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,968 : 764,088 = 764,088 : x
  2. Step 2: Convert to fraction form
    349,968/764,088 = 764,088/x
  3. Step 3: Cross multiply
    349,968x = 764,088 × 764,088
  4. Step 4: Simplify right side
    349,968x = 583,830,471,744
  5. Step 5: Solve for x
    x = 583,830,471,744/349,968
  6. Step 6: Final answer
    x = 1,668,239.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.