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Finding the Third Proportional to 282,391.03 and 620,834.06

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Solution

The third proportional to 282,391.03 and 620,834.06 is: 1,364,897.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,391.03 : 620,834.06 = 620,834.06 : x
  2. Step 2: Convert to fraction form
    282,391.03/620,834.06 = 620,834.06/x
  3. Step 3: Cross multiply
    282,391.03x = 620,834.06 × 620,834.06
  4. Step 4: Simplify right side
    282,391.03x = 385,434,933,160.25
  5. Step 5: Solve for x
    x = 385,434,933,160.25/282,391.03
  6. Step 6: Final answer
    x = 1,364,897.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.