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Finding the Third Proportional to 314,720 and 673,614

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Solution

The third proportional to 314,720 and 673,614 is: 1,441,776.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,720 : 673,614 = 673,614 : x
  2. Step 2: Convert to fraction form
    314,720/673,614 = 673,614/x
  3. Step 3: Cross multiply
    314,720x = 673,614 × 673,614
  4. Step 4: Simplify right side
    314,720x = 453,755,820,996
  5. Step 5: Solve for x
    x = 453,755,820,996/314,720
  6. Step 6: Final answer
    x = 1,441,776.25

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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.