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Finding the Third Proportional to 459,333 and 985,072.50

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Solution

The third proportional to 459,333 and 985,072.50 is: 2,112,558.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,333 : 985,072.50 = 985,072.50 : x
  2. Step 2: Convert to fraction form
    459,333/985,072.50 = 985,072.50/x
  3. Step 3: Cross multiply
    459,333x = 985,072.50 × 985,072.50
  4. Step 4: Simplify right side
    459,333x = 970,367,830,256.25
  5. Step 5: Solve for x
    x = 970,367,830,256.25/459,333
  6. Step 6: Final answer
    x = 2,112,558.49

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.