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Finding the Third Proportional to 219,042 and 470,841.75

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Solution

The third proportional to 219,042 and 470,841.75 is: 1,012,097.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,042 : 470,841.75 = 470,841.75 : x
  2. Step 2: Convert to fraction form
    219,042/470,841.75 = 470,841.75/x
  3. Step 3: Cross multiply
    219,042x = 470,841.75 × 470,841.75
  4. Step 4: Simplify right side
    219,042x = 221,691,953,543.06
  5. Step 5: Solve for x
    x = 221,691,953,543.06/219,042
  6. Step 6: Final answer
    x = 1,012,097.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.