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Finding the Third Proportional to 208,368 and 448,374

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Solution

The third proportional to 208,368 and 448,374 is: 964,827.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,368 : 448,374 = 448,374 : x
  2. Step 2: Convert to fraction form
    208,368/448,374 = 448,374/x
  3. Step 3: Cross multiply
    208,368x = 448,374 × 448,374
  4. Step 4: Simplify right side
    208,368x = 201,039,243,876
  5. Step 5: Solve for x
    x = 201,039,243,876/208,368
  6. Step 6: Final answer
    x = 964,827.82

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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.