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Finding the Third Proportional to 295,092 and 447,090

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Solution

The third proportional to 295,092 and 447,090 is: 677,380.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,092 : 447,090 = 447,090 : x
  2. Step 2: Convert to fraction form
    295,092/447,090 = 447,090/x
  3. Step 3: Cross multiply
    295,092x = 447,090 × 447,090
  4. Step 4: Simplify right side
    295,092x = 199,889,468,100
  5. Step 5: Solve for x
    x = 199,889,468,100/295,092
  6. Step 6: Final answer
    x = 677,380.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.