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Finding the Third Proportional to 449,408 and 983,264

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Solution

The third proportional to 449,408 and 983,264 is: 2,151,292.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,408 : 983,264 = 983,264 : x
  2. Step 2: Convert to fraction form
    449,408/983,264 = 983,264/x
  3. Step 3: Cross multiply
    449,408x = 983,264 × 983,264
  4. Step 4: Simplify right side
    449,408x = 966,808,093,696
  5. Step 5: Solve for x
    x = 966,808,093,696/449,408
  6. Step 6: Final answer
    x = 2,151,292.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.