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Finding the Third Proportional to 455,498.53 and 996,803.06

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Solution

The third proportional to 455,498.53 and 996,803.06 is: 2,181,382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,498.53 : 996,803.06 = 996,803.06 : x
  2. Step 2: Convert to fraction form
    455,498.53/996,803.06 = 996,803.06/x
  3. Step 3: Cross multiply
    455,498.53x = 996,803.06 × 996,803.06
  4. Step 4: Simplify right side
    455,498.53x = 993,616,345,409.38
  5. Step 5: Solve for x
    x = 993,616,345,409.38/455,498.53
  6. Step 6: Final answer
    x = 2,181,382.11

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Why These Related Problems?

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