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Finding the Third Proportional to 569,682 and 885,633

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Solution

The third proportional to 569,682 and 885,633 is: 1,376,813.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,682 : 885,633 = 885,633 : x
  2. Step 2: Convert to fraction form
    569,682/885,633 = 885,633/x
  3. Step 3: Cross multiply
    569,682x = 885,633 × 885,633
  4. Step 4: Simplify right side
    569,682x = 784,345,810,689
  5. Step 5: Solve for x
    x = 784,345,810,689/569,682
  6. Step 6: Final answer
    x = 1,376,813.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.