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Finding the Third Proportional to 209,277 and 457,674

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Solution

The third proportional to 209,277 and 457,674 is: 1,000,900.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,277 : 457,674 = 457,674 : x
  2. Step 2: Convert to fraction form
    209,277/457,674 = 457,674/x
  3. Step 3: Cross multiply
    209,277x = 457,674 × 457,674
  4. Step 4: Simplify right side
    209,277x = 209,465,490,276
  5. Step 5: Solve for x
    x = 209,465,490,276/209,277
  6. Step 6: Final answer
    x = 1,000,900.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.