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Finding the Third Proportional to 209,440 and 457,972

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Solution

The third proportional to 209,440 and 457,972 is: 1,001,424.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,440 : 457,972 = 457,972 : x
  2. Step 2: Convert to fraction form
    209,440/457,972 = 457,972/x
  3. Step 3: Cross multiply
    209,440x = 457,972 × 457,972
  4. Step 4: Simplify right side
    209,440x = 209,738,352,784
  5. Step 5: Solve for x
    x = 209,738,352,784/209,440
  6. Step 6: Final answer
    x = 1,001,424.53

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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.