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Finding the Third Proportional to 316,237 and 684,961.75

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Solution

The third proportional to 316,237 and 684,961.75 is: 1,483,610.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,237 : 684,961.75 = 684,961.75 : x
  2. Step 2: Convert to fraction form
    316,237/684,961.75 = 684,961.75/x
  3. Step 3: Cross multiply
    316,237x = 684,961.75 × 684,961.75
  4. Step 4: Simplify right side
    316,237x = 469,172,598,963.06
  5. Step 5: Solve for x
    x = 469,172,598,963.06/316,237
  6. Step 6: Final answer
    x = 1,483,610.71

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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.