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Finding the Third Proportional to 270,117.75 and 586,021.50

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Solution

The third proportional to 270,117.75 and 586,021.50 is: 1,271,375.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,117.75 : 586,021.50 = 586,021.50 : x
  2. Step 2: Convert to fraction form
    270,117.75/586,021.50 = 586,021.50/x
  3. Step 3: Cross multiply
    270,117.75x = 586,021.50 × 586,021.50
  4. Step 4: Simplify right side
    270,117.75x = 343,421,198,462.25
  5. Step 5: Solve for x
    x = 343,421,198,462.25/270,117.75
  6. Step 6: Final answer
    x = 1,271,375.90

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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.