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Finding the Third Proportional to 371,854 and 765,716

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Solution

The third proportional to 371,854 and 765,716 is: 1,576,750.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,854 : 765,716 = 765,716 : x
  2. Step 2: Convert to fraction form
    371,854/765,716 = 765,716/x
  3. Step 3: Cross multiply
    371,854x = 765,716 × 765,716
  4. Step 4: Simplify right side
    371,854x = 586,320,992,656
  5. Step 5: Solve for x
    x = 586,320,992,656/371,854
  6. Step 6: Final answer
    x = 1,576,750.53

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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.