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Finding the Third Proportional to 290,520 and 400,062

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Solution

The third proportional to 290,520 and 400,062 is: 550,907.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,520 : 400,062 = 400,062 : x
  2. Step 2: Convert to fraction form
    290,520/400,062 = 400,062/x
  3. Step 3: Cross multiply
    290,520x = 400,062 × 400,062
  4. Step 4: Simplify right side
    290,520x = 160,049,603,844
  5. Step 5: Solve for x
    x = 160,049,603,844/290,520
  6. Step 6: Final answer
    x = 550,907.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.