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Finding the Third Proportional to 295,889 and 650,710

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Solution

The third proportional to 295,889 and 650,710 is: 1,431,021.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,889 : 650,710 = 650,710 : x
  2. Step 2: Convert to fraction form
    295,889/650,710 = 650,710/x
  3. Step 3: Cross multiply
    295,889x = 650,710 × 650,710
  4. Step 4: Simplify right side
    295,889x = 423,423,504,100
  5. Step 5: Solve for x
    x = 423,423,504,100/295,889
  6. Step 6: Final answer
    x = 1,431,021.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.