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Finding the Third Proportional to 233,710 and 510,652

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Solution

The third proportional to 233,710 and 510,652 is: 1,115,765.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,710 : 510,652 = 510,652 : x
  2. Step 2: Convert to fraction form
    233,710/510,652 = 510,652/x
  3. Step 3: Cross multiply
    233,710x = 510,652 × 510,652
  4. Step 4: Simplify right side
    233,710x = 260,765,465,104
  5. Step 5: Solve for x
    x = 260,765,465,104/233,710
  6. Step 6: Final answer
    x = 1,115,765.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.