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Finding the Third Proportional to 316,239 and 684,966

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Solution

The third proportional to 316,239 and 684,966 is: 1,483,619.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,239 : 684,966 = 684,966 : x
  2. Step 2: Convert to fraction form
    316,239/684,966 = 684,966/x
  3. Step 3: Cross multiply
    316,239x = 684,966 × 684,966
  4. Step 4: Simplify right side
    316,239x = 469,178,421,156
  5. Step 5: Solve for x
    x = 469,178,421,156/316,239
  6. Step 6: Final answer
    x = 1,483,619.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.