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Finding the Third Proportional to 401,805 and 545,701.50

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Solution

The third proportional to 401,805 and 545,701.50 is: 741,130.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,805 : 545,701.50 = 545,701.50 : x
  2. Step 2: Convert to fraction form
    401,805/545,701.50 = 545,701.50/x
  3. Step 3: Cross multiply
    401,805x = 545,701.50 × 545,701.50
  4. Step 4: Simplify right side
    401,805x = 297,790,127,102.25
  5. Step 5: Solve for x
    x = 297,790,127,102.25/401,805
  6. Step 6: Final answer
    x = 741,130.96

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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.