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Finding the Third Proportional to 237,294 and 511,881.75

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Solution

The third proportional to 237,294 and 511,881.75 is: 1,104,212.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,294 : 511,881.75 = 511,881.75 : x
  2. Step 2: Convert to fraction form
    237,294/511,881.75 = 511,881.75/x
  3. Step 3: Cross multiply
    237,294x = 511,881.75 × 511,881.75
  4. Step 4: Simplify right side
    237,294x = 262,022,925,983.06
  5. Step 5: Solve for x
    x = 262,022,925,983.06/237,294
  6. Step 6: Final answer
    x = 1,104,212.18

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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.