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Finding the Third Proportional to 233,572.50 and 510,759

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Solution

The third proportional to 233,572.50 and 510,759 is: 1,116,889.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,572.50 : 510,759 = 510,759 : x
  2. Step 2: Convert to fraction form
    233,572.50/510,759 = 510,759/x
  3. Step 3: Cross multiply
    233,572.50x = 510,759 × 510,759
  4. Step 4: Simplify right side
    233,572.50x = 260,874,756,081
  5. Step 5: Solve for x
    x = 260,874,756,081/233,572.50
  6. Step 6: Final answer
    x = 1,116,889.86

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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.