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Finding the Third Proportional to 176,464 and 416,509

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Solution

The third proportional to 176,464 and 416,509 is: 983,088.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,464 : 416,509 = 416,509 : x
  2. Step 2: Convert to fraction form
    176,464/416,509 = 416,509/x
  3. Step 3: Cross multiply
    176,464x = 416,509 × 416,509
  4. Step 4: Simplify right side
    176,464x = 173,479,747,081
  5. Step 5: Solve for x
    x = 173,479,747,081/176,464
  6. Step 6: Final answer
    x = 983,088.60

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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.