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Finding the Third Proportional to 262,567.50 and 576,192

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Solution

The third proportional to 262,567.50 and 576,192 is: 1,264,426.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,567.50 : 576,192 = 576,192 : x
  2. Step 2: Convert to fraction form
    262,567.50/576,192 = 576,192/x
  3. Step 3: Cross multiply
    262,567.50x = 576,192 × 576,192
  4. Step 4: Simplify right side
    262,567.50x = 331,997,220,864
  5. Step 5: Solve for x
    x = 331,997,220,864/262,567.50
  6. Step 6: Final answer
    x = 1,264,426.18

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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.