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Finding the Third Proportional to 552,096 and 777,264

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Solution

The third proportional to 552,096 and 777,264 is: 1,094,264.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,096 : 777,264 = 777,264 : x
  2. Step 2: Convert to fraction form
    552,096/777,264 = 777,264/x
  3. Step 3: Cross multiply
    552,096x = 777,264 × 777,264
  4. Step 4: Simplify right side
    552,096x = 604,139,325,696
  5. Step 5: Solve for x
    x = 604,139,325,696/552,096
  6. Step 6: Final answer
    x = 1,094,264.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.