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Finding the Third Proportional to 306,056 and 410,484

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Solution

The third proportional to 306,056 and 410,484 is: 550,543.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,056 : 410,484 = 410,484 : x
  2. Step 2: Convert to fraction form
    306,056/410,484 = 410,484/x
  3. Step 3: Cross multiply
    306,056x = 410,484 × 410,484
  4. Step 4: Simplify right side
    306,056x = 168,497,114,256
  5. Step 5: Solve for x
    x = 168,497,114,256/306,056
  6. Step 6: Final answer
    x = 550,543.41

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.