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Finding the Third Proportional to 286,756.88 and 430,243.31

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Solution

The third proportional to 286,756.88 and 430,243.31 is: 645,527.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,756.88 : 430,243.31 = 430,243.31 : x
  2. Step 2: Convert to fraction form
    286,756.88/430,243.31 = 430,243.31/x
  3. Step 3: Cross multiply
    286,756.88x = 430,243.31 × 430,243.31
  4. Step 4: Simplify right side
    286,756.88x = 185,109,307,950.97
  5. Step 5: Solve for x
    x = 185,109,307,950.97/286,756.88
  6. Step 6: Final answer
    x = 645,527.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.