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Finding the Third Proportional to 273,490 and 414,006

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Solution

The third proportional to 273,490 and 414,006 is: 626,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,490 : 414,006 = 414,006 : x
  2. Step 2: Convert to fraction form
    273,490/414,006 = 414,006/x
  3. Step 3: Cross multiply
    273,490x = 414,006 × 414,006
  4. Step 4: Simplify right side
    273,490x = 171,400,968,036
  5. Step 5: Solve for x
    x = 171,400,968,036/273,490
  6. Step 6: Final answer
    x = 626,717.50

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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.