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Finding the Third Proportional to 290,606 and 437,583

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Solution

The third proportional to 290,606 and 437,583 is: 658,895.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,606 : 437,583 = 437,583 : x
  2. Step 2: Convert to fraction form
    290,606/437,583 = 437,583/x
  3. Step 3: Cross multiply
    290,606x = 437,583 × 437,583
  4. Step 4: Simplify right side
    290,606x = 191,478,881,889
  5. Step 5: Solve for x
    x = 191,478,881,889/290,606
  6. Step 6: Final answer
    x = 658,895.14

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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.