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Finding the Third Proportional to 314,786 and 674,448

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Solution

The third proportional to 314,786 and 674,448 is: 1,445,045.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,786 : 674,448 = 674,448 : x
  2. Step 2: Convert to fraction form
    314,786/674,448 = 674,448/x
  3. Step 3: Cross multiply
    314,786x = 674,448 × 674,448
  4. Step 4: Simplify right side
    314,786x = 454,880,104,704
  5. Step 5: Solve for x
    x = 454,880,104,704/314,786
  6. Step 6: Final answer
    x = 1,445,045.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.