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Finding the Third Proportional to 290,316 and 444,114

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Solution

The third proportional to 290,316 and 444,114 is: 679,388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,316 : 444,114 = 444,114 : x
  2. Step 2: Convert to fraction form
    290,316/444,114 = 444,114/x
  3. Step 3: Cross multiply
    290,316x = 444,114 × 444,114
  4. Step 4: Simplify right side
    290,316x = 197,237,244,996
  5. Step 5: Solve for x
    x = 197,237,244,996/290,316
  6. Step 6: Final answer
    x = 679,388.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.