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Finding the Third Proportional to 210,366 and 450,288

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Solution

The third proportional to 210,366 and 450,288 is: 963,840.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,366 : 450,288 = 450,288 : x
  2. Step 2: Convert to fraction form
    210,366/450,288 = 450,288/x
  3. Step 3: Cross multiply
    210,366x = 450,288 × 450,288
  4. Step 4: Simplify right side
    210,366x = 202,759,282,944
  5. Step 5: Solve for x
    x = 202,759,282,944/210,366
  6. Step 6: Final answer
    x = 963,840.56

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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.