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Finding the Third Proportional to 295,713 and 670,392

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Solution

The third proportional to 295,713 and 670,392 is: 1,519,802.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,713 : 670,392 = 670,392 : x
  2. Step 2: Convert to fraction form
    295,713/670,392 = 670,392/x
  3. Step 3: Cross multiply
    295,713x = 670,392 × 670,392
  4. Step 4: Simplify right side
    295,713x = 449,425,433,664
  5. Step 5: Solve for x
    x = 449,425,433,664/295,713
  6. Step 6: Final answer
    x = 1,519,802.76

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.