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Finding the Third Proportional to 208,418 and 448,436

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Solution

The third proportional to 208,418 and 448,436 is: 964,863.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,418 : 448,436 = 448,436 : x
  2. Step 2: Convert to fraction form
    208,418/448,436 = 448,436/x
  3. Step 3: Cross multiply
    208,418x = 448,436 × 448,436
  4. Step 4: Simplify right side
    208,418x = 201,094,846,096
  5. Step 5: Solve for x
    x = 201,094,846,096/208,418
  6. Step 6: Final answer
    x = 964,863.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.