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Finding the Third Proportional to 622,576.50 and 961,506.75

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Solution

The third proportional to 622,576.50 and 961,506.75 is: 1,484,950.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,576.50 : 961,506.75 = 961,506.75 : x
  2. Step 2: Convert to fraction form
    622,576.50/961,506.75 = 961,506.75/x
  3. Step 3: Cross multiply
    622,576.50x = 961,506.75 × 961,506.75
  4. Step 4: Simplify right side
    622,576.50x = 924,495,230,295.56
  5. Step 5: Solve for x
    x = 924,495,230,295.56/622,576.50
  6. Step 6: Final answer
    x = 1,484,950.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.