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Finding the Third Proportional to 210,048 and 437,808

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Solution

The third proportional to 210,048 and 437,808 is: 912,533.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,048 : 437,808 = 437,808 : x
  2. Step 2: Convert to fraction form
    210,048/437,808 = 437,808/x
  3. Step 3: Cross multiply
    210,048x = 437,808 × 437,808
  4. Step 4: Simplify right side
    210,048x = 191,675,844,864
  5. Step 5: Solve for x
    x = 191,675,844,864/210,048
  6. Step 6: Final answer
    x = 912,533.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.