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Finding the Third Proportional to 413,401.50 and 632,403

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Solution

The third proportional to 413,401.50 and 632,403 is: 967,421.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,401.50 : 632,403 = 632,403 : x
  2. Step 2: Convert to fraction form
    413,401.50/632,403 = 632,403/x
  3. Step 3: Cross multiply
    413,401.50x = 632,403 × 632,403
  4. Step 4: Simplify right side
    413,401.50x = 399,933,554,409
  5. Step 5: Solve for x
    x = 399,933,554,409/413,401.50
  6. Step 6: Final answer
    x = 967,421.63

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