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Finding the Third Proportional to 601,014.38 and 859,389.75

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Solution

The third proportional to 601,014.38 and 859,389.75 is: 1,228,840.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,014.38 : 859,389.75 = 859,389.75 : x
  2. Step 2: Convert to fraction form
    601,014.38/859,389.75 = 859,389.75/x
  3. Step 3: Cross multiply
    601,014.38x = 859,389.75 × 859,389.75
  4. Step 4: Simplify right side
    601,014.38x = 738,550,742,405.06
  5. Step 5: Solve for x
    x = 738,550,742,405.06/601,014.38
  6. Step 6: Final answer
    x = 1,228,840.40

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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.