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Finding the Third Proportional to 312,094.75 and 471,422.50

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Solution

The third proportional to 312,094.75 and 471,422.50 is: 712,088.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,094.75 : 471,422.50 = 471,422.50 : x
  2. Step 2: Convert to fraction form
    312,094.75/471,422.50 = 471,422.50/x
  3. Step 3: Cross multiply
    312,094.75x = 471,422.50 × 471,422.50
  4. Step 4: Simplify right side
    312,094.75x = 222,239,173,506.25
  5. Step 5: Solve for x
    x = 222,239,173,506.25/312,094.75
  6. Step 6: Final answer
    x = 712,088.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.