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Finding the Third Proportional to 282,957 and 608,050.50

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Solution

The third proportional to 282,957 and 608,050.50 is: 1,306,648.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,957 : 608,050.50 = 608,050.50 : x
  2. Step 2: Convert to fraction form
    282,957/608,050.50 = 608,050.50/x
  3. Step 3: Cross multiply
    282,957x = 608,050.50 × 608,050.50
  4. Step 4: Simplify right side
    282,957x = 369,725,410,550.25
  5. Step 5: Solve for x
    x = 369,725,410,550.25/282,957
  6. Step 6: Final answer
    x = 1,306,648.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.