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Finding the Third Proportional to 481,248 and 748,116

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Solution

The third proportional to 481,248 and 748,116 is: 1,162,971.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,248 : 748,116 = 748,116 : x
  2. Step 2: Convert to fraction form
    481,248/748,116 = 748,116/x
  3. Step 3: Cross multiply
    481,248x = 748,116 × 748,116
  4. Step 4: Simplify right side
    481,248x = 559,677,549,456
  5. Step 5: Solve for x
    x = 559,677,549,456/481,248
  6. Step 6: Final answer
    x = 1,162,971.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.