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Finding the Third Proportional to 277,605 and 594,630

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Solution

The third proportional to 277,605 and 594,630 is: 1,273,697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,605 : 594,630 = 594,630 : x
  2. Step 2: Convert to fraction form
    277,605/594,630 = 594,630/x
  3. Step 3: Cross multiply
    277,605x = 594,630 × 594,630
  4. Step 4: Simplify right side
    277,605x = 353,584,836,900
  5. Step 5: Solve for x
    x = 353,584,836,900/277,605
  6. Step 6: Final answer
    x = 1,273,697.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.