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Finding the Third Proportional to 295,947 and 647,262

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Solution

The third proportional to 295,947 and 647,262 is: 1,415,618.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,947 : 647,262 = 647,262 : x
  2. Step 2: Convert to fraction form
    295,947/647,262 = 647,262/x
  3. Step 3: Cross multiply
    295,947x = 647,262 × 647,262
  4. Step 4: Simplify right side
    295,947x = 418,948,096,644
  5. Step 5: Solve for x
    x = 418,948,096,644/295,947
  6. Step 6: Final answer
    x = 1,415,618.66

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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.