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Finding the Third Proportional to 481,372 and 748,382

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Solution

The third proportional to 481,372 and 748,382 is: 1,163,498.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,372 : 748,382 = 748,382 : x
  2. Step 2: Convert to fraction form
    481,372/748,382 = 748,382/x
  3. Step 3: Cross multiply
    481,372x = 748,382 × 748,382
  4. Step 4: Simplify right side
    481,372x = 560,075,617,924
  5. Step 5: Solve for x
    x = 560,075,617,924/481,372
  6. Step 6: Final answer
    x = 1,163,498.54

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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.