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Finding the Third Proportional to 209,223 and 457,569

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Solution

The third proportional to 209,223 and 457,569 is: 1,000,699.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,223 : 457,569 = 457,569 : x
  2. Step 2: Convert to fraction form
    209,223/457,569 = 457,569/x
  3. Step 3: Cross multiply
    209,223x = 457,569 × 457,569
  4. Step 4: Simplify right side
    209,223x = 209,369,389,761
  5. Step 5: Solve for x
    x = 209,369,389,761/209,223
  6. Step 6: Final answer
    x = 1,000,699.68

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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.