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Finding the Third Proportional to 209,270 and 457,662

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Solution

The third proportional to 209,270 and 457,662 is: 1,000,881.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,270 : 457,662 = 457,662 : x
  2. Step 2: Convert to fraction form
    209,270/457,662 = 457,662/x
  3. Step 3: Cross multiply
    209,270x = 457,662 × 457,662
  4. Step 4: Simplify right side
    209,270x = 209,454,506,244
  5. Step 5: Solve for x
    x = 209,454,506,244/209,270
  6. Step 6: Final answer
    x = 1,000,881.67

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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.