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Finding the Third Proportional to 305,466.75 and 472,511.25

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Solution

The third proportional to 305,466.75 and 472,511.25 is: 730,904.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,466.75 : 472,511.25 = 472,511.25 : x
  2. Step 2: Convert to fraction form
    305,466.75/472,511.25 = 472,511.25/x
  3. Step 3: Cross multiply
    305,466.75x = 472,511.25 × 472,511.25
  4. Step 4: Simplify right side
    305,466.75x = 223,266,881,376.56
  5. Step 5: Solve for x
    x = 223,266,881,376.56/305,466.75
  6. Step 6: Final answer
    x = 730,904.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.