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Finding the Third Proportional to 213,326 and 452,887

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Solution

The third proportional to 213,326 and 452,887 is: 961,470.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,326 : 452,887 = 452,887 : x
  2. Step 2: Convert to fraction form
    213,326/452,887 = 452,887/x
  3. Step 3: Cross multiply
    213,326x = 452,887 × 452,887
  4. Step 4: Simplify right side
    213,326x = 205,106,634,769
  5. Step 5: Solve for x
    x = 205,106,634,769/213,326
  6. Step 6: Final answer
    x = 961,470.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.