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Finding the Third Proportional to 283,585 and 618,682

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Solution

The third proportional to 283,585 and 618,682 is: 1,349,744.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,585 : 618,682 = 618,682 : x
  2. Step 2: Convert to fraction form
    283,585/618,682 = 618,682/x
  3. Step 3: Cross multiply
    283,585x = 618,682 × 618,682
  4. Step 4: Simplify right side
    283,585x = 382,767,417,124
  5. Step 5: Solve for x
    x = 382,767,417,124/283,585
  6. Step 6: Final answer
    x = 1,349,744.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.