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Finding the Third Proportional to 481,314 and 762,798

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Solution

The third proportional to 481,314 and 762,798 is: 1,208,900.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,314 : 762,798 = 762,798 : x
  2. Step 2: Convert to fraction form
    481,314/762,798 = 762,798/x
  3. Step 3: Cross multiply
    481,314x = 762,798 × 762,798
  4. Step 4: Simplify right side
    481,314x = 581,860,788,804
  5. Step 5: Solve for x
    x = 581,860,788,804/481,314
  6. Step 6: Final answer
    x = 1,208,900.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.