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Finding the Third Proportional to 277,714 and 420,465

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Solution

The third proportional to 277,714 and 420,465 is: 636,593.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,714 : 420,465 = 420,465 : x
  2. Step 2: Convert to fraction form
    277,714/420,465 = 420,465/x
  3. Step 3: Cross multiply
    277,714x = 420,465 × 420,465
  4. Step 4: Simplify right side
    277,714x = 176,790,816,225
  5. Step 5: Solve for x
    x = 176,790,816,225/277,714
  6. Step 6: Final answer
    x = 636,593.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.