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Finding the Third Proportional to 210,584 and 450,112

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Solution

The third proportional to 210,584 and 450,112 is: 962,090.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,584 : 450,112 = 450,112 : x
  2. Step 2: Convert to fraction form
    210,584/450,112 = 450,112/x
  3. Step 3: Cross multiply
    210,584x = 450,112 × 450,112
  4. Step 4: Simplify right side
    210,584x = 202,600,812,544
  5. Step 5: Solve for x
    x = 202,600,812,544/210,584
  6. Step 6: Final answer
    x = 962,090.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.