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Finding the Third Proportional to 282,784.50 and 606,048.75

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Solution

The third proportional to 282,784.50 and 606,048.75 is: 1,298,851.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,784.50 : 606,048.75 = 606,048.75 : x
  2. Step 2: Convert to fraction form
    282,784.50/606,048.75 = 606,048.75/x
  3. Step 3: Cross multiply
    282,784.50x = 606,048.75 × 606,048.75
  4. Step 4: Simplify right side
    282,784.50x = 367,295,087,376.56
  5. Step 5: Solve for x
    x = 367,295,087,376.56/282,784.50
  6. Step 6: Final answer
    x = 1,298,851.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.