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Finding the Third Proportional to 371,858 and 765,724

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Solution

The third proportional to 371,858 and 765,724 is: 1,576,766.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,858 : 765,724 = 765,724 : x
  2. Step 2: Convert to fraction form
    371,858/765,724 = 765,724/x
  3. Step 3: Cross multiply
    371,858x = 765,724 × 765,724
  4. Step 4: Simplify right side
    371,858x = 586,333,244,176
  5. Step 5: Solve for x
    x = 586,333,244,176/371,858
  6. Step 6: Final answer
    x = 1,576,766.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.