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Finding the Third Proportional to 282,883 and 610,052

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Solution

The third proportional to 282,883 and 610,052 is: 1,315,609.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,883 : 610,052 = 610,052 : x
  2. Step 2: Convert to fraction form
    282,883/610,052 = 610,052/x
  3. Step 3: Cross multiply
    282,883x = 610,052 × 610,052
  4. Step 4: Simplify right side
    282,883x = 372,163,442,704
  5. Step 5: Solve for x
    x = 372,163,442,704/282,883
  6. Step 6: Final answer
    x = 1,315,609.08

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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.