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Finding the Third Proportional to 214,607.25 and 458,554.50

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Solution

The third proportional to 214,607.25 and 458,554.50 is: 979,800.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,607.25 : 458,554.50 = 458,554.50 : x
  2. Step 2: Convert to fraction form
    214,607.25/458,554.50 = 458,554.50/x
  3. Step 3: Cross multiply
    214,607.25x = 458,554.50 × 458,554.50
  4. Step 4: Simplify right side
    214,607.25x = 210,272,229,470.25
  5. Step 5: Solve for x
    x = 210,272,229,470.25/214,607.25
  6. Step 6: Final answer
    x = 979,800.21

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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.