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Finding the Third Proportional to 245,847.66 and 379,689.66

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Solution

The third proportional to 245,847.66 and 379,689.66 is: 586,396.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,847.66 : 379,689.66 = 379,689.66 : x
  2. Step 2: Convert to fraction form
    245,847.66/379,689.66 = 379,689.66/x
  3. Step 3: Cross multiply
    245,847.66x = 379,689.66 × 379,689.66
  4. Step 4: Simplify right side
    245,847.66x = 144,164,235,063.24
  5. Step 5: Solve for x
    x = 144,164,235,063.24/245,847.66
  6. Step 6: Final answer
    x = 586,396.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.