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Finding the Third Proportional to 411,024 and 644,934

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Solution

The third proportional to 411,024 and 644,934 is: 1,011,960.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,024 : 644,934 = 644,934 : x
  2. Step 2: Convert to fraction form
    411,024/644,934 = 644,934/x
  3. Step 3: Cross multiply
    411,024x = 644,934 × 644,934
  4. Step 4: Simplify right side
    411,024x = 415,939,864,356
  5. Step 5: Solve for x
    x = 415,939,864,356/411,024
  6. Step 6: Final answer
    x = 1,011,960.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.