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Finding the Third Proportional to 219,734.44 and 470,572.88

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Solution

The third proportional to 219,734.44 and 470,572.88 is: 1,007,756.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,734.44 : 470,572.88 = 470,572.88 : x
  2. Step 2: Convert to fraction form
    219,734.44/470,572.88 = 470,572.88/x
  3. Step 3: Cross multiply
    219,734.44x = 470,572.88 × 470,572.88
  4. Step 4: Simplify right side
    219,734.44x = 221,438,830,685.77
  5. Step 5: Solve for x
    x = 221,438,830,685.77/219,734.44
  6. Step 6: Final answer
    x = 1,007,756.60

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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.