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Finding the Third Proportional to 361,459 and 785,228.50

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Solution

The third proportional to 361,459 and 785,228.50 is: 1,705,819.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,459 : 785,228.50 = 785,228.50 : x
  2. Step 2: Convert to fraction form
    361,459/785,228.50 = 785,228.50/x
  3. Step 3: Cross multiply
    361,459x = 785,228.50 × 785,228.50
  4. Step 4: Simplify right side
    361,459x = 616,583,797,212.25
  5. Step 5: Solve for x
    x = 616,583,797,212.25/361,459
  6. Step 6: Final answer
    x = 1,705,819.46

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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.