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Finding the Third Proportional to 214,521 and 471,052.50

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Solution

The third proportional to 214,521 and 471,052.50 is: 1,034,353.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,521 : 471,052.50 = 471,052.50 : x
  2. Step 2: Convert to fraction form
    214,521/471,052.50 = 471,052.50/x
  3. Step 3: Cross multiply
    214,521x = 471,052.50 × 471,052.50
  4. Step 4: Simplify right side
    214,521x = 221,890,457,756.25
  5. Step 5: Solve for x
    x = 221,890,457,756.25/214,521
  6. Step 6: Final answer
    x = 1,034,353.08

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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.