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Finding the Third Proportional to 257,164.50 and 556,611

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Solution

The third proportional to 257,164.50 and 556,611 is: 1,204,737.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,164.50 : 556,611 = 556,611 : x
  2. Step 2: Convert to fraction form
    257,164.50/556,611 = 556,611/x
  3. Step 3: Cross multiply
    257,164.50x = 556,611 × 556,611
  4. Step 4: Simplify right side
    257,164.50x = 309,815,805,321
  5. Step 5: Solve for x
    x = 309,815,805,321/257,164.50
  6. Step 6: Final answer
    x = 1,204,737.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.