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Finding the Third Proportional to 344,068 and 505,982

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Solution

The third proportional to 344,068 and 505,982 is: 744,090.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,068 : 505,982 = 505,982 : x
  2. Step 2: Convert to fraction form
    344,068/505,982 = 505,982/x
  3. Step 3: Cross multiply
    344,068x = 505,982 × 505,982
  4. Step 4: Simplify right side
    344,068x = 256,017,784,324
  5. Step 5: Solve for x
    x = 256,017,784,324/344,068
  6. Step 6: Final answer
    x = 744,090.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.