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Finding the Third Proportional to 437,984 and 944,328

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Solution

The third proportional to 437,984 and 944,328 is: 2,036,045.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,984 : 944,328 = 944,328 : x
  2. Step 2: Convert to fraction form
    437,984/944,328 = 944,328/x
  3. Step 3: Cross multiply
    437,984x = 944,328 × 944,328
  4. Step 4: Simplify right side
    437,984x = 891,755,371,584
  5. Step 5: Solve for x
    x = 891,755,371,584/437,984
  6. Step 6: Final answer
    x = 2,036,045.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.