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Finding the Third Proportional to 257,014.50 and 556,933.50

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Solution

The third proportional to 257,014.50 and 556,933.50 is: 1,206,838.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,014.50 : 556,933.50 = 556,933.50 : x
  2. Step 2: Convert to fraction form
    257,014.50/556,933.50 = 556,933.50/x
  3. Step 3: Cross multiply
    257,014.50x = 556,933.50 × 556,933.50
  4. Step 4: Simplify right side
    257,014.50x = 310,174,923,422.25
  5. Step 5: Solve for x
    x = 310,174,923,422.25/257,014.50
  6. Step 6: Final answer
    x = 1,206,838.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.