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Finding the Third Proportional to 364,926.75 and 581,115.75

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Solution

The third proportional to 364,926.75 and 581,115.75 is: 925,378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,926.75 : 581,115.75 = 581,115.75 : x
  2. Step 2: Convert to fraction form
    364,926.75/581,115.75 = 581,115.75/x
  3. Step 3: Cross multiply
    364,926.75x = 581,115.75 × 581,115.75
  4. Step 4: Simplify right side
    364,926.75x = 337,695,514,898.06
  5. Step 5: Solve for x
    x = 337,695,514,898.06/364,926.75
  6. Step 6: Final answer
    x = 925,378.90

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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.