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Finding the Third Proportional to 401,783 and 545,670.50

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Solution

The third proportional to 401,783 and 545,670.50 is: 741,087.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,783 : 545,670.50 = 545,670.50 : x
  2. Step 2: Convert to fraction form
    401,783/545,670.50 = 545,670.50/x
  3. Step 3: Cross multiply
    401,783x = 545,670.50 × 545,670.50
  4. Step 4: Simplify right side
    401,783x = 297,756,294,570.25
  5. Step 5: Solve for x
    x = 297,756,294,570.25/401,783
  6. Step 6: Final answer
    x = 741,087.34

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.