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Finding the Third Proportional to 270,490 and 421,044

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Solution

The third proportional to 270,490 and 421,044 is: 655,395.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,490 : 421,044 = 421,044 : x
  2. Step 2: Convert to fraction form
    270,490/421,044 = 421,044/x
  3. Step 3: Cross multiply
    270,490x = 421,044 × 421,044
  4. Step 4: Simplify right side
    270,490x = 177,278,049,936
  5. Step 5: Solve for x
    x = 177,278,049,936/270,490
  6. Step 6: Final answer
    x = 655,395.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.