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Finding the Third Proportional to 243,996 and 375,504

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Solution

The third proportional to 243,996 and 375,504 is: 577,891.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,996 : 375,504 = 375,504 : x
  2. Step 2: Convert to fraction form
    243,996/375,504 = 375,504/x
  3. Step 3: Cross multiply
    243,996x = 375,504 × 375,504
  4. Step 4: Simplify right side
    243,996x = 141,003,254,016
  5. Step 5: Solve for x
    x = 141,003,254,016/243,996
  6. Step 6: Final answer
    x = 577,891.66

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.