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Finding the Third Proportional to 411,186.56 and 616,779.84

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Solution

The third proportional to 411,186.56 and 616,779.84 is: 925,169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,186.56 : 616,779.84 = 616,779.84 : x
  2. Step 2: Convert to fraction form
    411,186.56/616,779.84 = 616,779.84/x
  3. Step 3: Cross multiply
    411,186.56x = 616,779.84 × 616,779.84
  4. Step 4: Simplify right side
    411,186.56x = 380,417,375,656.27
  5. Step 5: Solve for x
    x = 380,417,375,656.27/411,186.56
  6. Step 6: Final answer
    x = 925,169.77

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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.