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Finding the Third Proportional to 294,624 and 654,534

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Solution

The third proportional to 294,624 and 654,534 is: 1,454,106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,624 : 654,534 = 654,534 : x
  2. Step 2: Convert to fraction form
    294,624/654,534 = 654,534/x
  3. Step 3: Cross multiply
    294,624x = 654,534 × 654,534
  4. Step 4: Simplify right side
    294,624x = 428,414,757,156
  5. Step 5: Solve for x
    x = 428,414,757,156/294,624
  6. Step 6: Final answer
    x = 1,454,106.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.