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Finding the Third Proportional to 356,841 and 769,386

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Solution

The third proportional to 356,841 and 769,386 is: 1,658,875.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,841 : 769,386 = 769,386 : x
  2. Step 2: Convert to fraction form
    356,841/769,386 = 769,386/x
  3. Step 3: Cross multiply
    356,841x = 769,386 × 769,386
  4. Step 4: Simplify right side
    356,841x = 591,954,816,996
  5. Step 5: Solve for x
    x = 591,954,816,996/356,841
  6. Step 6: Final answer
    x = 1,658,875.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.