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Finding the Third Proportional to 219,309.75 and 455,852.25

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Solution

The third proportional to 219,309.75 and 455,852.25 is: 947,524.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,309.75 : 455,852.25 = 455,852.25 : x
  2. Step 2: Convert to fraction form
    219,309.75/455,852.25 = 455,852.25/x
  3. Step 3: Cross multiply
    219,309.75x = 455,852.25 × 455,852.25
  4. Step 4: Simplify right side
    219,309.75x = 207,801,273,830.06
  5. Step 5: Solve for x
    x = 207,801,273,830.06/219,309.75
  6. Step 6: Final answer
    x = 947,524.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.