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Finding the Third Proportional to 241,277.50 and 476,499

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Solution

The third proportional to 241,277.50 and 476,499 is: 941,038.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,277.50 : 476,499 = 476,499 : x
  2. Step 2: Convert to fraction form
    241,277.50/476,499 = 476,499/x
  3. Step 3: Cross multiply
    241,277.50x = 476,499 × 476,499
  4. Step 4: Simplify right side
    241,277.50x = 227,051,297,001
  5. Step 5: Solve for x
    x = 227,051,297,001/241,277.50
  6. Step 6: Final answer
    x = 941,038.00

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.