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Finding the Third Proportional to 264,116 and 569,300

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Solution

The third proportional to 264,116 and 569,300 is: 1,227,121.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,116 : 569,300 = 569,300 : x
  2. Step 2: Convert to fraction form
    264,116/569,300 = 569,300/x
  3. Step 3: Cross multiply
    264,116x = 569,300 × 569,300
  4. Step 4: Simplify right side
    264,116x = 324,102,490,000
  5. Step 5: Solve for x
    x = 324,102,490,000/264,116
  6. Step 6: Final answer
    x = 1,227,121.76

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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.