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Finding the Third Proportional to 222,920 and 487,312

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Solution

The third proportional to 222,920 and 487,312 is: 1,065,283.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,920 : 487,312 = 487,312 : x
  2. Step 2: Convert to fraction form
    222,920/487,312 = 487,312/x
  3. Step 3: Cross multiply
    222,920x = 487,312 × 487,312
  4. Step 4: Simplify right side
    222,920x = 237,472,985,344
  5. Step 5: Solve for x
    x = 237,472,985,344/222,920
  6. Step 6: Final answer
    x = 1,065,283.44

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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.