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Finding the Third Proportional to 243,621 and 586,905.75

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Solution

The third proportional to 243,621 and 586,905.75 is: 1,413,910.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,621 : 586,905.75 = 586,905.75 : x
  2. Step 2: Convert to fraction form
    243,621/586,905.75 = 586,905.75/x
  3. Step 3: Cross multiply
    243,621x = 586,905.75 × 586,905.75
  4. Step 4: Simplify right side
    243,621x = 344,458,359,383.06
  5. Step 5: Solve for x
    x = 344,458,359,383.06/243,621
  6. Step 6: Final answer
    x = 1,413,910.79

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.