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Finding the Third Proportional to 216,603 and 501,403.50

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Solution

The third proportional to 216,603 and 501,403.50 is: 1,160,674.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,603 : 501,403.50 = 501,403.50 : x
  2. Step 2: Convert to fraction form
    216,603/501,403.50 = 501,403.50/x
  3. Step 3: Cross multiply
    216,603x = 501,403.50 × 501,403.50
  4. Step 4: Simplify right side
    216,603x = 251,405,469,812.25
  5. Step 5: Solve for x
    x = 251,405,469,812.25/216,603
  6. Step 6: Final answer
    x = 1,160,674.00

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.