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Finding the Third Proportional to 313,106 and 676,224

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Solution

The third proportional to 313,106 and 676,224 is: 1,460,460.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,106 : 676,224 = 676,224 : x
  2. Step 2: Convert to fraction form
    313,106/676,224 = 676,224/x
  3. Step 3: Cross multiply
    313,106x = 676,224 × 676,224
  4. Step 4: Simplify right side
    313,106x = 457,278,898,176
  5. Step 5: Solve for x
    x = 457,278,898,176/313,106
  6. Step 6: Final answer
    x = 1,460,460.35

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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.