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Finding the Third Proportional to 282,647.25 and 609,610.50

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Solution

The third proportional to 282,647.25 and 609,610.50 is: 1,314,801.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,647.25 : 609,610.50 = 609,610.50 : x
  2. Step 2: Convert to fraction form
    282,647.25/609,610.50 = 609,610.50/x
  3. Step 3: Cross multiply
    282,647.25x = 609,610.50 × 609,610.50
  4. Step 4: Simplify right side
    282,647.25x = 371,624,961,710.25
  5. Step 5: Solve for x
    x = 371,624,961,710.25/282,647.25
  6. Step 6: Final answer
    x = 1,314,801.26

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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.