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Finding the Third Proportional to 314,416 and 444,464

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Solution

The third proportional to 314,416 and 444,464 is: 628,302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,416 : 444,464 = 444,464 : x
  2. Step 2: Convert to fraction form
    314,416/444,464 = 444,464/x
  3. Step 3: Cross multiply
    314,416x = 444,464 × 444,464
  4. Step 4: Simplify right side
    314,416x = 197,548,247,296
  5. Step 5: Solve for x
    x = 197,548,247,296/314,416
  6. Step 6: Final answer
    x = 628,302.15

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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.