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Finding the Third Proportional to 282,254 and 608,824

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Solution

The third proportional to 282,254 and 608,824 is: 1,313,237.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,254 : 608,824 = 608,824 : x
  2. Step 2: Convert to fraction form
    282,254/608,824 = 608,824/x
  3. Step 3: Cross multiply
    282,254x = 608,824 × 608,824
  4. Step 4: Simplify right side
    282,254x = 370,666,662,976
  5. Step 5: Solve for x
    x = 370,666,662,976/282,254
  6. Step 6: Final answer
    x = 1,313,237.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.