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Finding the Third Proportional to 295,472.25 and 458,396.25

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Solution

The third proportional to 295,472.25 and 458,396.25 is: 711,156.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,472.25 : 458,396.25 = 458,396.25 : x
  2. Step 2: Convert to fraction form
    295,472.25/458,396.25 = 458,396.25/x
  3. Step 3: Cross multiply
    295,472.25x = 458,396.25 × 458,396.25
  4. Step 4: Simplify right side
    295,472.25x = 210,127,122,014.06
  5. Step 5: Solve for x
    x = 210,127,122,014.06/295,472.25
  6. Step 6: Final answer
    x = 711,156.88

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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.