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Finding the Third Proportional to 262,800 and 576,465

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Solution

The third proportional to 262,800 and 576,465 is: 1,264,504.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,800 : 576,465 = 576,465 : x
  2. Step 2: Convert to fraction form
    262,800/576,465 = 576,465/x
  3. Step 3: Cross multiply
    262,800x = 576,465 × 576,465
  4. Step 4: Simplify right side
    262,800x = 332,311,896,225
  5. Step 5: Solve for x
    x = 332,311,896,225/262,800
  6. Step 6: Final answer
    x = 1,264,504.93

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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.