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Finding the Third Proportional to 222,914 and 487,300

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Solution

The third proportional to 222,914 and 487,300 is: 1,065,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,914 : 487,300 = 487,300 : x
  2. Step 2: Convert to fraction form
    222,914/487,300 = 487,300/x
  3. Step 3: Cross multiply
    222,914x = 487,300 × 487,300
  4. Step 4: Simplify right side
    222,914x = 237,461,290,000
  5. Step 5: Solve for x
    x = 237,461,290,000/222,914
  6. Step 6: Final answer
    x = 1,065,259.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.