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Finding the Third Proportional to 481,658 and 750,063

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Solution

The third proportional to 481,658 and 750,063 is: 1,168,037.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,658 : 750,063 = 750,063 : x
  2. Step 2: Convert to fraction form
    481,658/750,063 = 750,063/x
  3. Step 3: Cross multiply
    481,658x = 750,063 × 750,063
  4. Step 4: Simplify right side
    481,658x = 562,594,503,969
  5. Step 5: Solve for x
    x = 562,594,503,969/481,658
  6. Step 6: Final answer
    x = 1,168,037.29

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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.