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Finding the Third Proportional to 202,969 and 459,068.50

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Solution

The third proportional to 202,969 and 459,068.50 is: 1,038,305.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,969 : 459,068.50 = 459,068.50 : x
  2. Step 2: Convert to fraction form
    202,969/459,068.50 = 459,068.50/x
  3. Step 3: Cross multiply
    202,969x = 459,068.50 × 459,068.50
  4. Step 4: Simplify right side
    202,969x = 210,743,887,692.25
  5. Step 5: Solve for x
    x = 210,743,887,692.25/202,969
  6. Step 6: Final answer
    x = 1,038,305.79

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.