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Finding the Third Proportional to 202,653 and 444,222

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Solution

The third proportional to 202,653 and 444,222 is: 973,749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,653 : 444,222 = 444,222 : x
  2. Step 2: Convert to fraction form
    202,653/444,222 = 444,222/x
  3. Step 3: Cross multiply
    202,653x = 444,222 × 444,222
  4. Step 4: Simplify right side
    202,653x = 197,333,185,284
  5. Step 5: Solve for x
    x = 197,333,185,284/202,653
  6. Step 6: Final answer
    x = 973,749.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.