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Finding the Third Proportional to 272,490 and 659,355

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Solution

The third proportional to 272,490 and 659,355 is: 1,595,467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,490 : 659,355 = 659,355 : x
  2. Step 2: Convert to fraction form
    272,490/659,355 = 659,355/x
  3. Step 3: Cross multiply
    272,490x = 659,355 × 659,355
  4. Step 4: Simplify right side
    272,490x = 434,749,016,025
  5. Step 5: Solve for x
    x = 434,749,016,025/272,490
  6. Step 6: Final answer
    x = 1,595,467.78

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.