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Finding the Third Proportional to 359,138.25 and 556,077.75

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Solution

The third proportional to 359,138.25 and 556,077.75 is: 861,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,138.25 : 556,077.75 = 556,077.75 : x
  2. Step 2: Convert to fraction form
    359,138.25/556,077.75 = 556,077.75/x
  3. Step 3: Cross multiply
    359,138.25x = 556,077.75 × 556,077.75
  4. Step 4: Simplify right side
    359,138.25x = 309,222,464,045.06
  5. Step 5: Solve for x
    x = 309,222,464,045.06/359,138.25
  6. Step 6: Final answer
    x = 861,012.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.