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Finding the Third Proportional to 210,679.88 and 464,306.63

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Solution

The third proportional to 210,679.88 and 464,306.63 is: 1,023,261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,679.88 : 464,306.63 = 464,306.63 : x
  2. Step 2: Convert to fraction form
    210,679.88/464,306.63 = 464,306.63/x
  3. Step 3: Cross multiply
    210,679.88x = 464,306.63 × 464,306.63
  4. Step 4: Simplify right side
    210,679.88x = 215,580,642,018.89
  5. Step 5: Solve for x
    x = 215,580,642,018.89/210,679.88
  6. Step 6: Final answer
    x = 1,023,261.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.