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Finding the Third Proportional to 290,234 and 437,052

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Solution

The third proportional to 290,234 and 437,052 is: 658,139.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,234 : 437,052 = 437,052 : x
  2. Step 2: Convert to fraction form
    290,234/437,052 = 437,052/x
  3. Step 3: Cross multiply
    290,234x = 437,052 × 437,052
  4. Step 4: Simplify right side
    290,234x = 191,014,450,704
  5. Step 5: Solve for x
    x = 191,014,450,704/290,234
  6. Step 6: Final answer
    x = 658,139.47

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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.