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Finding the Third Proportional to 283,088 and 618,682

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Solution

The third proportional to 283,088 and 618,682 is: 1,352,114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,088 : 618,682 = 618,682 : x
  2. Step 2: Convert to fraction form
    283,088/618,682 = 618,682/x
  3. Step 3: Cross multiply
    283,088x = 618,682 × 618,682
  4. Step 4: Simplify right side
    283,088x = 382,767,417,124
  5. Step 5: Solve for x
    x = 382,767,417,124/283,088
  6. Step 6: Final answer
    x = 1,352,114.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.