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Finding the Third Proportional to 295,576 and 458,611

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Solution

The third proportional to 295,576 and 458,611 is: 711,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,576 : 458,611 = 458,611 : x
  2. Step 2: Convert to fraction form
    295,576/458,611 = 458,611/x
  3. Step 3: Cross multiply
    295,576x = 458,611 × 458,611
  4. Step 4: Simplify right side
    295,576x = 210,324,049,321
  5. Step 5: Solve for x
    x = 210,324,049,321/295,576
  6. Step 6: Final answer
    x = 711,573.50

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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.