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Finding the Third Proportional to 276,416 and 596,944

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Solution

The third proportional to 276,416 and 596,944 is: 1,289,151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,416 : 596,944 = 596,944 : x
  2. Step 2: Convert to fraction form
    276,416/596,944 = 596,944/x
  3. Step 3: Cross multiply
    276,416x = 596,944 × 596,944
  4. Step 4: Simplify right side
    276,416x = 356,342,139,136
  5. Step 5: Solve for x
    x = 356,342,139,136/276,416
  6. Step 6: Final answer
    x = 1,289,151.64

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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.