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Finding the Third Proportional to 342,460.13 and 545,401.69

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Solution

The third proportional to 342,460.13 and 545,401.69 is: 868,606.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,460.13 : 545,401.69 = 545,401.69 : x
  2. Step 2: Convert to fraction form
    342,460.13/545,401.69 = 545,401.69/x
  3. Step 3: Cross multiply
    342,460.13x = 545,401.69 × 545,401.69
  4. Step 4: Simplify right side
    342,460.13x = 297,463,000,727.85
  5. Step 5: Solve for x
    x = 297,463,000,727.85/342,460.13
  6. Step 6: Final answer
    x = 868,606.24

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.