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Finding the Third Proportional to 295,935 and 647,223

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Solution

The third proportional to 295,935 and 647,223 is: 1,415,505.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,935 : 647,223 = 647,223 : x
  2. Step 2: Convert to fraction form
    295,935/647,223 = 647,223/x
  3. Step 3: Cross multiply
    295,935x = 647,223 × 647,223
  4. Step 4: Simplify right side
    295,935x = 418,897,611,729
  5. Step 5: Solve for x
    x = 418,897,611,729/295,935
  6. Step 6: Final answer
    x = 1,415,505.47

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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.