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Finding the Third Proportional to 848,272.50 and 1,114,924.50

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Solution

The third proportional to 848,272.50 and 1,114,924.50 is: 1,465,397.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,272.50 : 1,114,924.50 = 1,114,924.50 : x
  2. Step 2: Convert to fraction form
    848,272.50/1,114,924.50 = 1,114,924.50/x
  3. Step 3: Cross multiply
    848,272.50x = 1,114,924.50 × 1,114,924.50
  4. Step 4: Simplify right side
    848,272.50x = 1,243,056,640,700.25
  5. Step 5: Solve for x
    x = 1,243,056,640,700.25/848,272.50
  6. Step 6: Final answer
    x = 1,465,397.78

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.