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Finding the Third Proportional to 305,216.50 and 662,973.50

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Solution

The third proportional to 305,216.50 and 662,973.50 is: 1,440,072.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,216.50 : 662,973.50 = 662,973.50 : x
  2. Step 2: Convert to fraction form
    305,216.50/662,973.50 = 662,973.50/x
  3. Step 3: Cross multiply
    305,216.50x = 662,973.50 × 662,973.50
  4. Step 4: Simplify right side
    305,216.50x = 439,533,861,702.25
  5. Step 5: Solve for x
    x = 439,533,861,702.25/305,216.50
  6. Step 6: Final answer
    x = 1,440,072.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.