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Finding the Third Proportional to 236,920.50 and 559,288.50

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Solution

The third proportional to 236,920.50 and 559,288.50 is: 1,320,289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,920.50 : 559,288.50 = 559,288.50 : x
  2. Step 2: Convert to fraction form
    236,920.50/559,288.50 = 559,288.50/x
  3. Step 3: Cross multiply
    236,920.50x = 559,288.50 × 559,288.50
  4. Step 4: Simplify right side
    236,920.50x = 312,803,626,232.25
  5. Step 5: Solve for x
    x = 312,803,626,232.25/236,920.50
  6. Step 6: Final answer
    x = 1,320,289.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.