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Finding the Third Proportional to 343,154 and 517,254

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Solution

The third proportional to 343,154 and 517,254 is: 779,684.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,154 : 517,254 = 517,254 : x
  2. Step 2: Convert to fraction form
    343,154/517,254 = 517,254/x
  3. Step 3: Cross multiply
    343,154x = 517,254 × 517,254
  4. Step 4: Simplify right side
    343,154x = 267,551,700,516
  5. Step 5: Solve for x
    x = 267,551,700,516/343,154
  6. Step 6: Final answer
    x = 779,684.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.