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Finding the Third Proportional to 300,290 and 654,148

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Solution

The third proportional to 300,290 and 654,148 is: 1,424,987.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,290 : 654,148 = 654,148 : x
  2. Step 2: Convert to fraction form
    300,290/654,148 = 654,148/x
  3. Step 3: Cross multiply
    300,290x = 654,148 × 654,148
  4. Step 4: Simplify right side
    300,290x = 427,909,605,904
  5. Step 5: Solve for x
    x = 427,909,605,904/300,290
  6. Step 6: Final answer
    x = 1,424,987.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.