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Finding the Third Proportional to 290,169 and 630,180

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Solution

The third proportional to 290,169 and 630,180 is: 1,368,605.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,169 : 630,180 = 630,180 : x
  2. Step 2: Convert to fraction form
    290,169/630,180 = 630,180/x
  3. Step 3: Cross multiply
    290,169x = 630,180 × 630,180
  4. Step 4: Simplify right side
    290,169x = 397,126,832,400
  5. Step 5: Solve for x
    x = 397,126,832,400/290,169
  6. Step 6: Final answer
    x = 1,368,605.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.