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Finding the Third Proportional to 399,435.75 and 561,830.63

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Solution

The third proportional to 399,435.75 and 561,830.63 is: 790,248.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,435.75 : 561,830.63 = 561,830.63 : x
  2. Step 2: Convert to fraction form
    399,435.75/561,830.63 = 561,830.63/x
  3. Step 3: Cross multiply
    399,435.75x = 561,830.63 × 561,830.63
  4. Step 4: Simplify right side
    399,435.75x = 315,653,651,187.89
  5. Step 5: Solve for x
    x = 315,653,651,187.89/399,435.75
  6. Step 6: Final answer
    x = 790,248.87

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Why These Related Problems?

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