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Finding the Third Proportional to 295,340 and 644,133

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Solution

The third proportional to 295,340 and 644,133 is: 1,404,846.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,340 : 644,133 = 644,133 : x
  2. Step 2: Convert to fraction form
    295,340/644,133 = 644,133/x
  3. Step 3: Cross multiply
    295,340x = 644,133 × 644,133
  4. Step 4: Simplify right side
    295,340x = 414,907,321,689
  5. Step 5: Solve for x
    x = 414,907,321,689/295,340
  6. Step 6: Final answer
    x = 1,404,846.35

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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.