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Finding the Third Proportional to 426,231 and 710,284.50

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Solution

The third proportional to 426,231 and 710,284.50 is: 1,183,640.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,231 : 710,284.50 = 710,284.50 : x
  2. Step 2: Convert to fraction form
    426,231/710,284.50 = 710,284.50/x
  3. Step 3: Cross multiply
    426,231x = 710,284.50 × 710,284.50
  4. Step 4: Simplify right side
    426,231x = 504,504,070,940.25
  5. Step 5: Solve for x
    x = 504,504,070,940.25/426,231
  6. Step 6: Final answer
    x = 1,183,640.02

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.