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Finding the Third Proportional to 356,090.06 and 823,641.75

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Solution

The third proportional to 356,090.06 and 823,641.75 is: 1,905,095.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,090.06 : 823,641.75 = 823,641.75 : x
  2. Step 2: Convert to fraction form
    356,090.06/823,641.75 = 823,641.75/x
  3. Step 3: Cross multiply
    356,090.06x = 823,641.75 × 823,641.75
  4. Step 4: Simplify right side
    356,090.06x = 678,385,732,343.06
  5. Step 5: Solve for x
    x = 678,385,732,343.06/356,090.06
  6. Step 6: Final answer
    x = 1,905,095.94

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.