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Finding the Third Proportional to 344,655 and 517,347

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Solution

The third proportional to 344,655 and 517,347 is: 776,567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,655 : 517,347 = 517,347 : x
  2. Step 2: Convert to fraction form
    344,655/517,347 = 517,347/x
  3. Step 3: Cross multiply
    344,655x = 517,347 × 517,347
  4. Step 4: Simplify right side
    344,655x = 267,647,918,409
  5. Step 5: Solve for x
    x = 267,647,918,409/344,655
  6. Step 6: Final answer
    x = 776,567.64

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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.