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Finding the Third Proportional to 361,458.50 and 785,228

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Solution

The third proportional to 361,458.50 and 785,228 is: 1,705,819.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,458.50 : 785,228 = 785,228 : x
  2. Step 2: Convert to fraction form
    361,458.50/785,228 = 785,228/x
  3. Step 3: Cross multiply
    361,458.50x = 785,228 × 785,228
  4. Step 4: Simplify right side
    361,458.50x = 616,583,011,984
  5. Step 5: Solve for x
    x = 616,583,011,984/361,458.50
  6. Step 6: Final answer
    x = 1,705,819.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.