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Finding the Third Proportional to 400,245.75 and 875,152.50

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Solution

The third proportional to 400,245.75 and 875,152.50 is: 1,913,554.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,245.75 : 875,152.50 = 875,152.50 : x
  2. Step 2: Convert to fraction form
    400,245.75/875,152.50 = 875,152.50/x
  3. Step 3: Cross multiply
    400,245.75x = 875,152.50 × 875,152.50
  4. Step 4: Simplify right side
    400,245.75x = 765,891,898,256.25
  5. Step 5: Solve for x
    x = 765,891,898,256.25/400,245.75
  6. Step 6: Final answer
    x = 1,913,554.11

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.