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Finding the Third Proportional to 310,523.63 and 421,036.31

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Solution

The third proportional to 310,523.63 and 421,036.31 is: 570,879.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,523.63 : 421,036.31 = 421,036.31 : x
  2. Step 2: Convert to fraction form
    310,523.63/421,036.31 = 421,036.31/x
  3. Step 3: Cross multiply
    310,523.63x = 421,036.31 × 421,036.31
  4. Step 4: Simplify right side
    310,523.63x = 177,271,576,443.60
  5. Step 5: Solve for x
    x = 177,271,576,443.60/310,523.63
  6. Step 6: Final answer
    x = 570,879.52

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.