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Finding the Third Proportional to 223,562 and 480,415

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Solution

The third proportional to 223,562 and 480,415 is: 1,032,369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,562 : 480,415 = 480,415 : x
  2. Step 2: Convert to fraction form
    223,562/480,415 = 480,415/x
  3. Step 3: Cross multiply
    223,562x = 480,415 × 480,415
  4. Step 4: Simplify right side
    223,562x = 230,798,572,225
  5. Step 5: Solve for x
    x = 230,798,572,225/223,562
  6. Step 6: Final answer
    x = 1,032,369.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.