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Finding the Third Proportional to 332,896.50 and 471,038.63

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Solution

The third proportional to 332,896.50 and 471,038.63 is: 666,505.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,896.50 : 471,038.63 = 471,038.63 : x
  2. Step 2: Convert to fraction form
    332,896.50/471,038.63 = 471,038.63/x
  3. Step 3: Cross multiply
    332,896.50x = 471,038.63 × 471,038.63
  4. Step 4: Simplify right side
    332,896.50x = 221,877,386,241.89
  5. Step 5: Solve for x
    x = 221,877,386,241.89/332,896.50
  6. Step 6: Final answer
    x = 666,505.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.