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Finding the Third Proportional to 210,444 and 450,493.50

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Solution

The third proportional to 210,444 and 450,493.50 is: 964,362.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,444 : 450,493.50 = 450,493.50 : x
  2. Step 2: Convert to fraction form
    210,444/450,493.50 = 450,493.50/x
  3. Step 3: Cross multiply
    210,444x = 450,493.50 × 450,493.50
  4. Step 4: Simplify right side
    210,444x = 202,944,393,542.25
  5. Step 5: Solve for x
    x = 202,944,393,542.25/210,444
  6. Step 6: Final answer
    x = 964,362.94

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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.