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Finding the Third Proportional to 273,616 and 414,060

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Solution

The third proportional to 273,616 and 414,060 is: 626,592.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,616 : 414,060 = 414,060 : x
  2. Step 2: Convert to fraction form
    273,616/414,060 = 414,060/x
  3. Step 3: Cross multiply
    273,616x = 414,060 × 414,060
  4. Step 4: Simplify right side
    273,616x = 171,445,683,600
  5. Step 5: Solve for x
    x = 171,445,683,600/273,616
  6. Step 6: Final answer
    x = 626,592.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.