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Finding the Third Proportional to 483,534 and 679,725

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Solution

The third proportional to 483,534 and 679,725 is: 955,519.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,534 : 679,725 = 679,725 : x
  2. Step 2: Convert to fraction form
    483,534/679,725 = 679,725/x
  3. Step 3: Cross multiply
    483,534x = 679,725 × 679,725
  4. Step 4: Simplify right side
    483,534x = 462,026,075,625
  5. Step 5: Solve for x
    x = 462,026,075,625/483,534
  6. Step 6: Final answer
    x = 955,519.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.