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Finding the Third Proportional to 442,276.88 and 662,711.63

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Solution

The third proportional to 442,276.88 and 662,711.63 is: 993,013.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,276.88 : 662,711.63 = 662,711.63 : x
  2. Step 2: Convert to fraction form
    442,276.88/662,711.63 = 662,711.63/x
  3. Step 3: Cross multiply
    442,276.88x = 662,711.63 × 662,711.63
  4. Step 4: Simplify right side
    442,276.88x = 439,186,697,910.14
  5. Step 5: Solve for x
    x = 439,186,697,910.14/442,276.88
  6. Step 6: Final answer
    x = 993,013.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.