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Finding the Third Proportional to 316,168 and 462,406

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Solution

The third proportional to 316,168 and 462,406 is: 676,283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,168 : 462,406 = 462,406 : x
  2. Step 2: Convert to fraction form
    316,168/462,406 = 462,406/x
  3. Step 3: Cross multiply
    316,168x = 462,406 × 462,406
  4. Step 4: Simplify right side
    316,168x = 213,819,308,836
  5. Step 5: Solve for x
    x = 213,819,308,836/316,168
  6. Step 6: Final answer
    x = 676,283.84

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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.