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Finding the Third Proportional to 277,382 and 406,200

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Solution

The third proportional to 277,382 and 406,200 is: 594,841.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,382 : 406,200 = 406,200 : x
  2. Step 2: Convert to fraction form
    277,382/406,200 = 406,200/x
  3. Step 3: Cross multiply
    277,382x = 406,200 × 406,200
  4. Step 4: Simplify right side
    277,382x = 164,998,440,000
  5. Step 5: Solve for x
    x = 164,998,440,000/277,382
  6. Step 6: Final answer
    x = 594,841.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.