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Finding the Third Proportional to 210,413 and 304,563

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Solution

The third proportional to 210,413 and 304,563 is: 440,840.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,413 : 304,563 = 304,563 : x
  2. Step 2: Convert to fraction form
    210,413/304,563 = 304,563/x
  3. Step 3: Cross multiply
    210,413x = 304,563 × 304,563
  4. Step 4: Simplify right side
    210,413x = 92,758,620,969
  5. Step 5: Solve for x
    x = 92,758,620,969/210,413
  6. Step 6: Final answer
    x = 440,840.73

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.