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Finding the Third Proportional to 282,051.75 and 603,469.50

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Solution

The third proportional to 282,051.75 and 603,469.50 is: 1,291,165.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,051.75 : 603,469.50 = 603,469.50 : x
  2. Step 2: Convert to fraction form
    282,051.75/603,469.50 = 603,469.50/x
  3. Step 3: Cross multiply
    282,051.75x = 603,469.50 × 603,469.50
  4. Step 4: Simplify right side
    282,051.75x = 364,175,437,430.25
  5. Step 5: Solve for x
    x = 364,175,437,430.25/282,051.75
  6. Step 6: Final answer
    x = 1,291,165.32

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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.