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Finding the Third Proportional to 371,889 and 765,786

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Solution

The third proportional to 371,889 and 765,786 is: 1,576,890.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,889 : 765,786 = 765,786 : x
  2. Step 2: Convert to fraction form
    371,889/765,786 = 765,786/x
  3. Step 3: Cross multiply
    371,889x = 765,786 × 765,786
  4. Step 4: Simplify right side
    371,889x = 586,428,197,796
  5. Step 5: Solve for x
    x = 586,428,197,796/371,889
  6. Step 6: Final answer
    x = 1,576,890.41

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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.