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Finding the Third Proportional to 436,875 and 587,179.50

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Solution

The third proportional to 436,875 and 587,179.50 is: 789,195.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,875 : 587,179.50 = 587,179.50 : x
  2. Step 2: Convert to fraction form
    436,875/587,179.50 = 587,179.50/x
  3. Step 3: Cross multiply
    436,875x = 587,179.50 × 587,179.50
  4. Step 4: Simplify right side
    436,875x = 344,779,765,220.25
  5. Step 5: Solve for x
    x = 344,779,765,220.25/436,875
  6. Step 6: Final answer
    x = 789,195.46

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.