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Finding the Third Proportional to 287,094 and 410,958

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Solution

The third proportional to 287,094 and 410,958 is: 588,261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,094 : 410,958 = 410,958 : x
  2. Step 2: Convert to fraction form
    287,094/410,958 = 410,958/x
  3. Step 3: Cross multiply
    287,094x = 410,958 × 410,958
  4. Step 4: Simplify right side
    287,094x = 168,886,477,764
  5. Step 5: Solve for x
    x = 168,886,477,764/287,094
  6. Step 6: Final answer
    x = 588,261.96

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