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Finding the Third Proportional to 219,750 and 470,604

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Solution

The third proportional to 219,750 and 470,604 is: 1,007,818.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,750 : 470,604 = 470,604 : x
  2. Step 2: Convert to fraction form
    219,750/470,604 = 470,604/x
  3. Step 3: Cross multiply
    219,750x = 470,604 × 470,604
  4. Step 4: Simplify right side
    219,750x = 221,468,124,816
  5. Step 5: Solve for x
    x = 221,468,124,816/219,750
  6. Step 6: Final answer
    x = 1,007,818.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.