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Finding the Third Proportional to 314,431 and 444,490

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Solution

The third proportional to 314,431 and 444,490 is: 628,345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,431 : 444,490 = 444,490 : x
  2. Step 2: Convert to fraction form
    314,431/444,490 = 444,490/x
  3. Step 3: Cross multiply
    314,431x = 444,490 × 444,490
  4. Step 4: Simplify right side
    314,431x = 197,571,360,100
  5. Step 5: Solve for x
    x = 197,571,360,100/314,431
  6. Step 6: Final answer
    x = 628,345.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.