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Finding the Third Proportional to 214,303.50 and 466,704

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Solution

The third proportional to 214,303.50 and 466,704 is: 1,016,374.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,303.50 : 466,704 = 466,704 : x
  2. Step 2: Convert to fraction form
    214,303.50/466,704 = 466,704/x
  3. Step 3: Cross multiply
    214,303.50x = 466,704 × 466,704
  4. Step 4: Simplify right side
    214,303.50x = 217,812,623,616
  5. Step 5: Solve for x
    x = 217,812,623,616/214,303.50
  6. Step 6: Final answer
    x = 1,016,374.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.