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Finding the Third Proportional to 215,588 and 468,480

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Solution

The third proportional to 215,588 and 468,480 is: 1,018,022.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,588 : 468,480 = 468,480 : x
  2. Step 2: Convert to fraction form
    215,588/468,480 = 468,480/x
  3. Step 3: Cross multiply
    215,588x = 468,480 × 468,480
  4. Step 4: Simplify right side
    215,588x = 219,473,510,400
  5. Step 5: Solve for x
    x = 219,473,510,400/215,588
  6. Step 6: Final answer
    x = 1,018,022.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.