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Finding the Third Proportional to 214,218 and 470,482

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Solution

The third proportional to 214,218 and 470,482 is: 1,033,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,218 : 470,482 = 470,482 : x
  2. Step 2: Convert to fraction form
    214,218/470,482 = 470,482/x
  3. Step 3: Cross multiply
    214,218x = 470,482 × 470,482
  4. Step 4: Simplify right side
    214,218x = 221,353,312,324
  5. Step 5: Solve for x
    x = 221,353,312,324/214,218
  6. Step 6: Final answer
    x = 1,033,308.65

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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.