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Finding the Third Proportional to 526,400 and 786,090.50

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Solution

The third proportional to 526,400 and 786,090.50 is: 1,173,894.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,400 : 786,090.50 = 786,090.50 : x
  2. Step 2: Convert to fraction form
    526,400/786,090.50 = 786,090.50/x
  3. Step 3: Cross multiply
    526,400x = 786,090.50 × 786,090.50
  4. Step 4: Simplify right side
    526,400x = 617,938,274,190.25
  5. Step 5: Solve for x
    x = 617,938,274,190.25/526,400
  6. Step 6: Final answer
    x = 1,173,894.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.