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Finding the Third Proportional to 314,013 and 654,594

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Solution

The third proportional to 314,013 and 654,594 is: 1,364,571.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,013 : 654,594 = 654,594 : x
  2. Step 2: Convert to fraction form
    314,013/654,594 = 654,594/x
  3. Step 3: Cross multiply
    314,013x = 654,594 × 654,594
  4. Step 4: Simplify right side
    314,013x = 428,493,304,836
  5. Step 5: Solve for x
    x = 428,493,304,836/314,013
  6. Step 6: Final answer
    x = 1,364,571.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.