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Finding the Third Proportional to 446,260 and 625,614

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Solution

The third proportional to 446,260 and 625,614 is: 877,051.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,260 : 625,614 = 625,614 : x
  2. Step 2: Convert to fraction form
    446,260/625,614 = 625,614/x
  3. Step 3: Cross multiply
    446,260x = 625,614 × 625,614
  4. Step 4: Simplify right side
    446,260x = 391,392,876,996
  5. Step 5: Solve for x
    x = 391,392,876,996/446,260
  6. Step 6: Final answer
    x = 877,051.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.