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Finding the Third Proportional to 282,051 and 603,470.25

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Solution

The third proportional to 282,051 and 603,470.25 is: 1,291,171.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,051 : 603,470.25 = 603,470.25 : x
  2. Step 2: Convert to fraction form
    282,051/603,470.25 = 603,470.25/x
  3. Step 3: Cross multiply
    282,051x = 603,470.25 × 603,470.25
  4. Step 4: Simplify right side
    282,051x = 364,176,342,635.06
  5. Step 5: Solve for x
    x = 364,176,342,635.06/282,051
  6. Step 6: Final answer
    x = 1,291,171.96

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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.