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Finding the Third Proportional to 219,017 and 470,758

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Solution

The third proportional to 219,017 and 470,758 is: 1,011,853.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,017 : 470,758 = 470,758 : x
  2. Step 2: Convert to fraction form
    219,017/470,758 = 470,758/x
  3. Step 3: Cross multiply
    219,017x = 470,758 × 470,758
  4. Step 4: Simplify right side
    219,017x = 221,613,094,564
  5. Step 5: Solve for x
    x = 221,613,094,564/219,017
  6. Step 6: Final answer
    x = 1,011,853.39

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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.