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Finding the Third Proportional to 277,544 and 654,964

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Solution

The third proportional to 277,544 and 654,964 is: 1,545,621.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,544 : 654,964 = 654,964 : x
  2. Step 2: Convert to fraction form
    277,544/654,964 = 654,964/x
  3. Step 3: Cross multiply
    277,544x = 654,964 × 654,964
  4. Step 4: Simplify right side
    277,544x = 428,977,841,296
  5. Step 5: Solve for x
    x = 428,977,841,296/277,544
  6. Step 6: Final answer
    x = 1,545,621.02

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.