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Finding the Third Proportional to 264,798 and 567,500

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Solution

The third proportional to 264,798 and 567,500 is: 1,216,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,798 : 567,500 = 567,500 : x
  2. Step 2: Convert to fraction form
    264,798/567,500 = 567,500/x
  3. Step 3: Cross multiply
    264,798x = 567,500 × 567,500
  4. Step 4: Simplify right side
    264,798x = 322,056,250,000
  5. Step 5: Solve for x
    x = 322,056,250,000/264,798
  6. Step 6: Final answer
    x = 1,216,233.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.