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Finding the Third Proportional to 208,746 and 456,480

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Solution

The third proportional to 208,746 and 456,480 is: 998,217.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,746 : 456,480 = 456,480 : x
  2. Step 2: Convert to fraction form
    208,746/456,480 = 456,480/x
  3. Step 3: Cross multiply
    208,746x = 456,480 × 456,480
  4. Step 4: Simplify right side
    208,746x = 208,373,990,400
  5. Step 5: Solve for x
    x = 208,373,990,400/208,746
  6. Step 6: Final answer
    x = 998,217.88

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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.