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Finding the Third Proportional to 332,889.75 and 471,030.19

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Solution

The third proportional to 332,889.75 and 471,030.19 is: 666,495.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,889.75 : 471,030.19 = 471,030.19 : x
  2. Step 2: Convert to fraction form
    332,889.75/471,030.19 = 471,030.19/x
  3. Step 3: Cross multiply
    332,889.75x = 471,030.19 × 471,030.19
  4. Step 4: Simplify right side
    332,889.75x = 221,869,437,536.29
  5. Step 5: Solve for x
    x = 221,869,437,536.29/332,889.75
  6. Step 6: Final answer
    x = 666,495.25

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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.