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Finding the Third Proportional to 264,267 and 408,064.50

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Solution

The third proportional to 264,267 and 408,064.50 is: 630,107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,267 : 408,064.50 = 408,064.50 : x
  2. Step 2: Convert to fraction form
    264,267/408,064.50 = 408,064.50/x
  3. Step 3: Cross multiply
    264,267x = 408,064.50 × 408,064.50
  4. Step 4: Simplify right side
    264,267x = 166,516,636,160.25
  5. Step 5: Solve for x
    x = 166,516,636,160.25/264,267
  6. Step 6: Final answer
    x = 630,107.57

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