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Finding the Third Proportional to 313,076 and 676,174

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Solution

The third proportional to 313,076 and 676,174 is: 1,460,384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,076 : 676,174 = 676,174 : x
  2. Step 2: Convert to fraction form
    313,076/676,174 = 676,174/x
  3. Step 3: Cross multiply
    313,076x = 676,174 × 676,174
  4. Step 4: Simplify right side
    313,076x = 457,211,278,276
  5. Step 5: Solve for x
    x = 457,211,278,276/313,076
  6. Step 6: Final answer
    x = 1,460,384.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.