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Finding the Third Proportional to 413,629 and 632,343

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Solution

The third proportional to 413,629 and 632,343 is: 966,706.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,629 : 632,343 = 632,343 : x
  2. Step 2: Convert to fraction form
    413,629/632,343 = 632,343/x
  3. Step 3: Cross multiply
    413,629x = 632,343 × 632,343
  4. Step 4: Simplify right side
    413,629x = 399,857,669,649
  5. Step 5: Solve for x
    x = 399,857,669,649/413,629
  6. Step 6: Final answer
    x = 966,706.08

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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.