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Finding the Third Proportional to 263,456 and 390,610

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Solution

The third proportional to 263,456 and 390,610 is: 579,133.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,456 : 390,610 = 390,610 : x
  2. Step 2: Convert to fraction form
    263,456/390,610 = 390,610/x
  3. Step 3: Cross multiply
    263,456x = 390,610 × 390,610
  4. Step 4: Simplify right side
    263,456x = 152,576,172,100
  5. Step 5: Solve for x
    x = 152,576,172,100/263,456
  6. Step 6: Final answer
    x = 579,133.41

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.