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Finding the Third Proportional to 346,272 and 518,016

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Solution

The third proportional to 346,272 and 518,016 is: 774,941.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,272 : 518,016 = 518,016 : x
  2. Step 2: Convert to fraction form
    346,272/518,016 = 518,016/x
  3. Step 3: Cross multiply
    346,272x = 518,016 × 518,016
  4. Step 4: Simplify right side
    346,272x = 268,340,576,256
  5. Step 5: Solve for x
    x = 268,340,576,256/346,272
  6. Step 6: Final answer
    x = 774,941.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.