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Finding the Third Proportional to 257,532.75 and 559,406.25

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Solution

The third proportional to 257,532.75 and 559,406.25 is: 1,215,128.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,532.75 : 559,406.25 = 559,406.25 : x
  2. Step 2: Convert to fraction form
    257,532.75/559,406.25 = 559,406.25/x
  3. Step 3: Cross multiply
    257,532.75x = 559,406.25 × 559,406.25
  4. Step 4: Simplify right side
    257,532.75x = 312,935,352,539.06
  5. Step 5: Solve for x
    x = 312,935,352,539.06/257,532.75
  6. Step 6: Final answer
    x = 1,215,128.38

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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.