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Finding the Third Proportional to 294,412 and 638,612

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Solution

The third proportional to 294,412 and 638,612 is: 1,385,219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,412 : 638,612 = 638,612 : x
  2. Step 2: Convert to fraction form
    294,412/638,612 = 638,612/x
  3. Step 3: Cross multiply
    294,412x = 638,612 × 638,612
  4. Step 4: Simplify right side
    294,412x = 407,825,286,544
  5. Step 5: Solve for x
    x = 407,825,286,544/294,412
  6. Step 6: Final answer
    x = 1,385,219.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.