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Finding the Third Proportional to 341,778 and 734,148

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Solution

The third proportional to 341,778 and 734,148 is: 1,576,968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,778 : 734,148 = 734,148 : x
  2. Step 2: Convert to fraction form
    341,778/734,148 = 734,148/x
  3. Step 3: Cross multiply
    341,778x = 734,148 × 734,148
  4. Step 4: Simplify right side
    341,778x = 538,973,285,904
  5. Step 5: Solve for x
    x = 538,973,285,904/341,778
  6. Step 6: Final answer
    x = 1,576,968.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.