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Finding the Third Proportional to 210,488 and 450,832

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Solution

The third proportional to 210,488 and 450,832 is: 965,610.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,488 : 450,832 = 450,832 : x
  2. Step 2: Convert to fraction form
    210,488/450,832 = 450,832/x
  3. Step 3: Cross multiply
    210,488x = 450,832 × 450,832
  4. Step 4: Simplify right side
    210,488x = 203,249,492,224
  5. Step 5: Solve for x
    x = 203,249,492,224/210,488
  6. Step 6: Final answer
    x = 965,610.83

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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.