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Finding the Third Proportional to 250,464 and 366,480

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Solution

The third proportional to 250,464 and 366,480 is: 536,235.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,464 : 366,480 = 366,480 : x
  2. Step 2: Convert to fraction form
    250,464/366,480 = 366,480/x
  3. Step 3: Cross multiply
    250,464x = 366,480 × 366,480
  4. Step 4: Simplify right side
    250,464x = 134,307,590,400
  5. Step 5: Solve for x
    x = 134,307,590,400/250,464
  6. Step 6: Final answer
    x = 536,235.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.