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Finding the Third Proportional to 386,025.75 and 556,893.56

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Solution

The third proportional to 386,025.75 and 556,893.56 is: 803,393.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,025.75 : 556,893.56 = 556,893.56 : x
  2. Step 2: Convert to fraction form
    386,025.75/556,893.56 = 556,893.56/x
  3. Step 3: Cross multiply
    386,025.75x = 556,893.56 × 556,893.56
  4. Step 4: Simplify right side
    386,025.75x = 310,130,439,953.94
  5. Step 5: Solve for x
    x = 310,130,439,953.94/386,025.75
  6. Step 6: Final answer
    x = 803,393.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.