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Finding the Third Proportional to 215,730.84 and 470,827.69

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Solution

The third proportional to 215,730.84 and 470,827.69 is: 1,027,570.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,730.84 : 470,827.69 = 470,827.69 : x
  2. Step 2: Convert to fraction form
    215,730.84/470,827.69 = 470,827.69/x
  3. Step 3: Cross multiply
    215,730.84x = 470,827.69 × 470,827.69
  4. Step 4: Simplify right side
    215,730.84x = 221,678,711,316.60
  5. Step 5: Solve for x
    x = 221,678,711,316.60/215,730.84
  6. Step 6: Final answer
    x = 1,027,570.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.