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Finding the Third Proportional to 176,454 and 416,480

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Solution

The third proportional to 176,454 and 416,480 is: 983,007.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,454 : 416,480 = 416,480 : x
  2. Step 2: Convert to fraction form
    176,454/416,480 = 416,480/x
  3. Step 3: Cross multiply
    176,454x = 416,480 × 416,480
  4. Step 4: Simplify right side
    176,454x = 173,455,590,400
  5. Step 5: Solve for x
    x = 173,455,590,400/176,454
  6. Step 6: Final answer
    x = 983,007.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.