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Finding the Third Proportional to 254,611.13 and 382,555.13

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Solution

The third proportional to 254,611.13 and 382,555.13 is: 574,791.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,611.13 : 382,555.13 = 382,555.13 : x
  2. Step 2: Convert to fraction form
    254,611.13/382,555.13 = 382,555.13/x
  3. Step 3: Cross multiply
    254,611.13x = 382,555.13 × 382,555.13
  4. Step 4: Simplify right side
    254,611.13x = 146,348,423,663.77
  5. Step 5: Solve for x
    x = 146,348,423,663.77/254,611.13
  6. Step 6: Final answer
    x = 574,791.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.