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Finding the Third Proportional to 264,798 and 392,052

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Solution

The third proportional to 264,798 and 392,052 is: 580,460.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,798 : 392,052 = 392,052 : x
  2. Step 2: Convert to fraction form
    264,798/392,052 = 392,052/x
  3. Step 3: Cross multiply
    264,798x = 392,052 × 392,052
  4. Step 4: Simplify right side
    264,798x = 153,704,770,704
  5. Step 5: Solve for x
    x = 153,704,770,704/264,798
  6. Step 6: Final answer
    x = 580,460.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.