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Finding the Third Proportional to 411,414 and 546,026

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Solution

The third proportional to 411,414 and 546,026 is: 724,682.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,414 : 546,026 = 546,026 : x
  2. Step 2: Convert to fraction form
    411,414/546,026 = 546,026/x
  3. Step 3: Cross multiply
    411,414x = 546,026 × 546,026
  4. Step 4: Simplify right side
    411,414x = 298,144,392,676
  5. Step 5: Solve for x
    x = 298,144,392,676/411,414
  6. Step 6: Final answer
    x = 724,682.18

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.