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Finding the Third Proportional to 399,430.50 and 561,823.75

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Solution

The third proportional to 399,430.50 and 561,823.75 is: 790,239.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,430.50 : 561,823.75 = 561,823.75 : x
  2. Step 2: Convert to fraction form
    399,430.50/561,823.75 = 561,823.75/x
  3. Step 3: Cross multiply
    399,430.50x = 561,823.75 × 561,823.75
  4. Step 4: Simplify right side
    399,430.50x = 315,645,926,064.06
  5. Step 5: Solve for x
    x = 315,645,926,064.06/399,430.50
  6. Step 6: Final answer
    x = 790,239.92

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.