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Finding the Third Proportional to 421,073 and 647,226

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Solution

The third proportional to 421,073 and 647,226 is: 994,842.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,073 : 647,226 = 647,226 : x
  2. Step 2: Convert to fraction form
    421,073/647,226 = 647,226/x
  3. Step 3: Cross multiply
    421,073x = 647,226 × 647,226
  4. Step 4: Simplify right side
    421,073x = 418,901,495,076
  5. Step 5: Solve for x
    x = 418,901,495,076/421,073
  6. Step 6: Final answer
    x = 994,842.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.