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Finding the Third Proportional to 277,596 and 418,446

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Solution

The third proportional to 277,596 and 418,446 is: 630,762.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,596 : 418,446 = 418,446 : x
  2. Step 2: Convert to fraction form
    277,596/418,446 = 418,446/x
  3. Step 3: Cross multiply
    277,596x = 418,446 × 418,446
  4. Step 4: Simplify right side
    277,596x = 175,097,054,916
  5. Step 5: Solve for x
    x = 175,097,054,916/277,596
  6. Step 6: Final answer
    x = 630,762.17

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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.