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Finding the Third Proportional to 441,576.56 and 700,353.84

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Solution

The third proportional to 441,576.56 and 700,353.84 is: 1,110,782.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,576.56 : 700,353.84 = 700,353.84 : x
  2. Step 2: Convert to fraction form
    441,576.56/700,353.84 = 700,353.84/x
  3. Step 3: Cross multiply
    441,576.56x = 700,353.84 × 700,353.84
  4. Step 4: Simplify right side
    441,576.56x = 490,495,506,455.40
  5. Step 5: Solve for x
    x = 490,495,506,455.40/441,576.56
  6. Step 6: Final answer
    x = 1,110,782.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.