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Finding the Third Proportional to 481,634 and 750,025

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Solution

The third proportional to 481,634 and 750,025 is: 1,167,977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,634 : 750,025 = 750,025 : x
  2. Step 2: Convert to fraction form
    481,634/750,025 = 750,025/x
  3. Step 3: Cross multiply
    481,634x = 750,025 × 750,025
  4. Step 4: Simplify right side
    481,634x = 562,537,500,625
  5. Step 5: Solve for x
    x = 562,537,500,625/481,634
  6. Step 6: Final answer
    x = 1,167,977.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.