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Finding the Third Proportional to 349,998 and 764,148

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Solution

The third proportional to 349,998 and 764,148 is: 1,668,358.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,998 : 764,148 = 764,148 : x
  2. Step 2: Convert to fraction form
    349,998/764,148 = 764,148/x
  3. Step 3: Cross multiply
    349,998x = 764,148 × 764,148
  4. Step 4: Simplify right side
    349,998x = 583,922,165,904
  5. Step 5: Solve for x
    x = 583,922,165,904/349,998
  6. Step 6: Final answer
    x = 1,668,358.58

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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.