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Finding the Third Proportional to 297,189 and 579,494.25

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Solution

The third proportional to 297,189 and 579,494.25 is: 1,129,966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,189 : 579,494.25 = 579,494.25 : x
  2. Step 2: Convert to fraction form
    297,189/579,494.25 = 579,494.25/x
  3. Step 3: Cross multiply
    297,189x = 579,494.25 × 579,494.25
  4. Step 4: Simplify right side
    297,189x = 335,813,585,783.06
  5. Step 5: Solve for x
    x = 335,813,585,783.06/297,189
  6. Step 6: Final answer
    x = 1,129,966.40

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.