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Finding the Third Proportional to 233,041 and 510,546

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Solution

The third proportional to 233,041 and 510,546 is: 1,118,503.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,041 : 510,546 = 510,546 : x
  2. Step 2: Convert to fraction form
    233,041/510,546 = 510,546/x
  3. Step 3: Cross multiply
    233,041x = 510,546 × 510,546
  4. Step 4: Simplify right side
    233,041x = 260,657,218,116
  5. Step 5: Solve for x
    x = 260,657,218,116/233,041
  6. Step 6: Final answer
    x = 1,118,503.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.