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Finding the Third Proportional to 546,011.81 and 856,576.88

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Solution

The third proportional to 546,011.81 and 856,576.88 is: 1,343,787.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,011.81 : 856,576.88 = 856,576.88 : x
  2. Step 2: Convert to fraction form
    546,011.81/856,576.88 = 856,576.88/x
  3. Step 3: Cross multiply
    546,011.81x = 856,576.88 × 856,576.88
  4. Step 4: Simplify right side
    546,011.81x = 733,723,942,784.77
  5. Step 5: Solve for x
    x = 733,723,942,784.77/546,011.81
  6. Step 6: Final answer
    x = 1,343,787.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.