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Finding the Third Proportional to 240,181.88 and 519,809.06

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Solution

The third proportional to 240,181.88 and 519,809.06 is: 1,124,986.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,181.88 : 519,809.06 = 519,809.06 : x
  2. Step 2: Convert to fraction form
    240,181.88/519,809.06 = 519,809.06/x
  3. Step 3: Cross multiply
    240,181.88x = 519,809.06 × 519,809.06
  4. Step 4: Simplify right side
    240,181.88x = 270,201,461,457.13
  5. Step 5: Solve for x
    x = 270,201,461,457.13/240,181.88
  6. Step 6: Final answer
    x = 1,124,986.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.