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Finding the Third Proportional to 263,025 and 558,855

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Solution

The third proportional to 263,025 and 558,855 is: 1,187,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,025 : 558,855 = 558,855 : x
  2. Step 2: Convert to fraction form
    263,025/558,855 = 558,855/x
  3. Step 3: Cross multiply
    263,025x = 558,855 × 558,855
  4. Step 4: Simplify right side
    263,025x = 312,318,911,025
  5. Step 5: Solve for x
    x = 312,318,911,025/263,025
  6. Step 6: Final answer
    x = 1,187,411.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.