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Finding the Third Proportional to 480,741 and 747,333

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Solution

The third proportional to 480,741 and 747,333 is: 1,161,761.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,741 : 747,333 = 747,333 : x
  2. Step 2: Convert to fraction form
    480,741/747,333 = 747,333/x
  3. Step 3: Cross multiply
    480,741x = 747,333 × 747,333
  4. Step 4: Simplify right side
    480,741x = 558,506,612,889
  5. Step 5: Solve for x
    x = 558,506,612,889/480,741
  6. Step 6: Final answer
    x = 1,161,761.97

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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.