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Finding the Third Proportional to 413,820.75 and 556,107.75

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Solution

The third proportional to 413,820.75 and 556,107.75 is: 747,318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,820.75 : 556,107.75 = 556,107.75 : x
  2. Step 2: Convert to fraction form
    413,820.75/556,107.75 = 556,107.75/x
  3. Step 3: Cross multiply
    413,820.75x = 556,107.75 × 556,107.75
  4. Step 4: Simplify right side
    413,820.75x = 309,255,829,610.06
  5. Step 5: Solve for x
    x = 309,255,829,610.06/413,820.75
  6. Step 6: Final answer
    x = 747,318.32

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.