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Finding the Third Proportional to 413,381.25 and 620,073

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Solution

The third proportional to 413,381.25 and 620,073 is: 930,111.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,381.25 : 620,073 = 620,073 : x
  2. Step 2: Convert to fraction form
    413,381.25/620,073 = 620,073/x
  3. Step 3: Cross multiply
    413,381.25x = 620,073 × 620,073
  4. Step 4: Simplify right side
    413,381.25x = 384,490,525,329
  5. Step 5: Solve for x
    x = 384,490,525,329/413,381.25
  6. Step 6: Final answer
    x = 930,111.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.