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Finding the Third Proportional to 214,359.75 and 452,776.50

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Solution

The third proportional to 214,359.75 and 452,776.50 is: 956,366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,359.75 : 452,776.50 = 452,776.50 : x
  2. Step 2: Convert to fraction form
    214,359.75/452,776.50 = 452,776.50/x
  3. Step 3: Cross multiply
    214,359.75x = 452,776.50 × 452,776.50
  4. Step 4: Simplify right side
    214,359.75x = 205,006,558,952.25
  5. Step 5: Solve for x
    x = 205,006,558,952.25/214,359.75
  6. Step 6: Final answer
    x = 956,366.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.