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Finding the Third Proportional to 282,881 and 610,048.50

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Solution

The third proportional to 282,881 and 610,048.50 is: 1,315,603.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,881 : 610,048.50 = 610,048.50 : x
  2. Step 2: Convert to fraction form
    282,881/610,048.50 = 610,048.50/x
  3. Step 3: Cross multiply
    282,881x = 610,048.50 × 610,048.50
  4. Step 4: Simplify right side
    282,881x = 372,159,172,352.25
  5. Step 5: Solve for x
    x = 372,159,172,352.25/282,881
  6. Step 6: Final answer
    x = 1,315,603.28

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