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Finding the Third Proportional to 467,205.75 and 668,106

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Solution

The third proportional to 467,205.75 and 668,106 is: 955,394.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,205.75 : 668,106 = 668,106 : x
  2. Step 2: Convert to fraction form
    467,205.75/668,106 = 668,106/x
  3. Step 3: Cross multiply
    467,205.75x = 668,106 × 668,106
  4. Step 4: Simplify right side
    467,205.75x = 446,365,627,236
  5. Step 5: Solve for x
    x = 446,365,627,236/467,205.75
  6. Step 6: Final answer
    x = 955,394.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.