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Finding the Third Proportional to 214,068 and 470,510.25

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Solution

The third proportional to 214,068 and 470,510.25 is: 1,034,156.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,068 : 470,510.25 = 470,510.25 : x
  2. Step 2: Convert to fraction form
    214,068/470,510.25 = 470,510.25/x
  3. Step 3: Cross multiply
    214,068x = 470,510.25 × 470,510.25
  4. Step 4: Simplify right side
    214,068x = 221,379,895,355.06
  5. Step 5: Solve for x
    x = 221,379,895,355.06/214,068
  6. Step 6: Final answer
    x = 1,034,156.88

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