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Finding the Third Proportional to 244,664 and 374,772

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Solution

The third proportional to 244,664 and 374,772 is: 574,069.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,664 : 374,772 = 374,772 : x
  2. Step 2: Convert to fraction form
    244,664/374,772 = 374,772/x
  3. Step 3: Cross multiply
    244,664x = 374,772 × 374,772
  4. Step 4: Simplify right side
    244,664x = 140,454,051,984
  5. Step 5: Solve for x
    x = 140,454,051,984/244,664
  6. Step 6: Final answer
    x = 574,069.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.