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Finding the Third Proportional to 405,496.13 and 616,992.19

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Solution

The third proportional to 405,496.13 and 616,992.19 is: 938,799.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,496.13 : 616,992.19 = 616,992.19 : x
  2. Step 2: Convert to fraction form
    405,496.13/616,992.19 = 616,992.19/x
  3. Step 3: Cross multiply
    405,496.13x = 616,992.19 × 616,992.19
  4. Step 4: Simplify right side
    405,496.13x = 380,679,359,436.04
  5. Step 5: Solve for x
    x = 380,679,359,436.04/405,496.13
  6. Step 6: Final answer
    x = 938,799.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.