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Finding the Third Proportional to 413,309 and 632,187

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Solution

The third proportional to 413,309 and 632,187 is: 966,977.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,309 : 632,187 = 632,187 : x
  2. Step 2: Convert to fraction form
    413,309/632,187 = 632,187/x
  3. Step 3: Cross multiply
    413,309x = 632,187 × 632,187
  4. Step 4: Simplify right side
    413,309x = 399,660,402,969
  5. Step 5: Solve for x
    x = 399,660,402,969/413,309
  6. Step 6: Final answer
    x = 966,977.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.