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Finding the Third Proportional to 480,676 and 747,255

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Solution

The third proportional to 480,676 and 747,255 is: 1,161,676.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,676 : 747,255 = 747,255 : x
  2. Step 2: Convert to fraction form
    480,676/747,255 = 747,255/x
  3. Step 3: Cross multiply
    480,676x = 747,255 × 747,255
  4. Step 4: Simplify right side
    480,676x = 558,390,035,025
  5. Step 5: Solve for x
    x = 558,390,035,025/480,676
  6. Step 6: Final answer
    x = 1,161,676.55

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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.