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Finding the Third Proportional to 305,422.50 and 665,056.50

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Solution

The third proportional to 305,422.50 and 665,056.50 is: 1,448,158.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,422.50 : 665,056.50 = 665,056.50 : x
  2. Step 2: Convert to fraction form
    305,422.50/665,056.50 = 665,056.50/x
  3. Step 3: Cross multiply
    305,422.50x = 665,056.50 × 665,056.50
  4. Step 4: Simplify right side
    305,422.50x = 442,300,148,192.25
  5. Step 5: Solve for x
    x = 442,300,148,192.25/305,422.50
  6. Step 6: Final answer
    x = 1,448,158.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.