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Finding the Third Proportional to 276,158,378 and 595,356,916

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Solution

The third proportional to 276,158,378 and 595,356,916 is: 1,283,502,097.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,158,378 : 595,356,916 = 595,356,916 : x
  2. Step 2: Convert to fraction form
    276,158,378/595,356,916 = 595,356,916/x
  3. Step 3: Cross multiply
    276,158,378x = 595,356,916 × 595,356,916
  4. Step 4: Simplify right side
    276,158,378x = 354,449,857,429,031,040
  5. Step 5: Solve for x
    x = 354,449,857,429,031,040/276,158,378
  6. Step 6: Final answer
    x = 1,283,502,097.59

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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.