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Finding the Third Proportional to 295,422.75 and 458,309.25

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Solution

The third proportional to 295,422.75 and 458,309.25 is: 711,006.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,422.75 : 458,309.25 = 458,309.25 : x
  2. Step 2: Convert to fraction form
    295,422.75/458,309.25 = 458,309.25/x
  3. Step 3: Cross multiply
    295,422.75x = 458,309.25 × 458,309.25
  4. Step 4: Simplify right side
    295,422.75x = 210,047,368,635.56
  5. Step 5: Solve for x
    x = 210,047,368,635.56/295,422.75
  6. Step 6: Final answer
    x = 711,006.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.