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Finding the Third Proportional to 241,564 and 399,246

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Solution

The third proportional to 241,564 and 399,246 is: 659,855.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,564 : 399,246 = 399,246 : x
  2. Step 2: Convert to fraction form
    241,564/399,246 = 399,246/x
  3. Step 3: Cross multiply
    241,564x = 399,246 × 399,246
  4. Step 4: Simplify right side
    241,564x = 159,397,368,516
  5. Step 5: Solve for x
    x = 159,397,368,516/241,564
  6. Step 6: Final answer
    x = 659,855.64

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.