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Finding the Third Proportional to 214,088 and 470,548

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Solution

The third proportional to 214,088 and 470,548 is: 1,034,226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,088 : 470,548 = 470,548 : x
  2. Step 2: Convert to fraction form
    214,088/470,548 = 470,548/x
  3. Step 3: Cross multiply
    214,088x = 470,548 × 470,548
  4. Step 4: Simplify right side
    214,088x = 221,415,420,304
  5. Step 5: Solve for x
    x = 221,415,420,304/214,088
  6. Step 6: Final answer
    x = 1,034,226.21

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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.