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Finding the Third Proportional to 213,584 and 453,504

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Solution

The third proportional to 213,584 and 453,504 is: 962,927.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,584 : 453,504 = 453,504 : x
  2. Step 2: Convert to fraction form
    213,584/453,504 = 453,504/x
  3. Step 3: Cross multiply
    213,584x = 453,504 × 453,504
  4. Step 4: Simplify right side
    213,584x = 205,665,878,016
  5. Step 5: Solve for x
    x = 205,665,878,016/213,584
  6. Step 6: Final answer
    x = 962,927.36

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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.