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Finding the Third Proportional to 219,032 and 470,785

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Solution

The third proportional to 219,032 and 470,785 is: 1,011,900.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,032 : 470,785 = 470,785 : x
  2. Step 2: Convert to fraction form
    219,032/470,785 = 470,785/x
  3. Step 3: Cross multiply
    219,032x = 470,785 × 470,785
  4. Step 4: Simplify right side
    219,032x = 221,638,516,225
  5. Step 5: Solve for x
    x = 221,638,516,225/219,032
  6. Step 6: Final answer
    x = 1,011,900.16

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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.