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Finding the Third Proportional to 270,604 and 584,112

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Solution

The third proportional to 270,604 and 584,112 is: 1,260,834.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,604 : 584,112 = 584,112 : x
  2. Step 2: Convert to fraction form
    270,604/584,112 = 584,112/x
  3. Step 3: Cross multiply
    270,604x = 584,112 × 584,112
  4. Step 4: Simplify right side
    270,604x = 341,186,828,544
  5. Step 5: Solve for x
    x = 341,186,828,544/270,604
  6. Step 6: Final answer
    x = 1,260,834.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.