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Finding the Third Proportional to 214,234.88 and 470,501.16

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Solution

The third proportional to 214,234.88 and 470,501.16 is: 1,033,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,234.88 : 470,501.16 = 470,501.16 : x
  2. Step 2: Convert to fraction form
    214,234.88/470,501.16 = 470,501.16/x
  3. Step 3: Cross multiply
    214,234.88x = 470,501.16 × 470,501.16
  4. Step 4: Simplify right side
    214,234.88x = 221,371,338,032.59
  5. Step 5: Solve for x
    x = 221,371,338,032.59/214,234.88
  6. Step 6: Final answer
    x = 1,033,311.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.