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Finding the Third Proportional to 314,491 and 418,995

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Solution

The third proportional to 314,491 and 418,995 is: 558,225.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,491 : 418,995 = 418,995 : x
  2. Step 2: Convert to fraction form
    314,491/418,995 = 418,995/x
  3. Step 3: Cross multiply
    314,491x = 418,995 × 418,995
  4. Step 4: Simplify right side
    314,491x = 175,556,810,025
  5. Step 5: Solve for x
    x = 175,556,810,025/314,491
  6. Step 6: Final answer
    x = 558,225.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.