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Finding the Third Proportional to 440,550 and 681,609

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Solution

The third proportional to 440,550 and 681,609 is: 1,054,570.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,550 : 681,609 = 681,609 : x
  2. Step 2: Convert to fraction form
    440,550/681,609 = 681,609/x
  3. Step 3: Cross multiply
    440,550x = 681,609 × 681,609
  4. Step 4: Simplify right side
    440,550x = 464,590,828,881
  5. Step 5: Solve for x
    x = 464,590,828,881/440,550
  6. Step 6: Final answer
    x = 1,054,570.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.