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Finding the Third Proportional to 413,684.72 and 632,555.58

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Solution

The third proportional to 413,684.72 and 632,555.58 is: 967,225.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,684.72 : 632,555.58 = 632,555.58 : x
  2. Step 2: Convert to fraction form
    413,684.72/632,555.58 = 632,555.58/x
  3. Step 3: Cross multiply
    413,684.72x = 632,555.58 × 632,555.58
  4. Step 4: Simplify right side
    413,684.72x = 400,126,559,417.05
  5. Step 5: Solve for x
    x = 400,126,559,417.05/413,684.72
  6. Step 6: Final answer
    x = 967,225.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.