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Finding the Third Proportional to 262,442.53 and 407,150.30

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Solution

The third proportional to 262,442.53 and 407,150.30 is: 631,648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,442.53 : 407,150.30 = 407,150.30 : x
  2. Step 2: Convert to fraction form
    262,442.53/407,150.30 = 407,150.30/x
  3. Step 3: Cross multiply
    262,442.53x = 407,150.30 × 407,150.30
  4. Step 4: Simplify right side
    262,442.53x = 165,771,364,245.40
  5. Step 5: Solve for x
    x = 165,771,364,245.40/262,442.53
  6. Step 6: Final answer
    x = 631,648.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.