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Finding the Third Proportional to 264,317 and 425,591

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Solution

The third proportional to 264,317 and 425,591 is: 685,266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,317 : 425,591 = 425,591 : x
  2. Step 2: Convert to fraction form
    264,317/425,591 = 425,591/x
  3. Step 3: Cross multiply
    264,317x = 425,591 × 425,591
  4. Step 4: Simplify right side
    264,317x = 181,127,699,281
  5. Step 5: Solve for x
    x = 181,127,699,281/264,317
  6. Step 6: Final answer
    x = 685,266.93

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.