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Finding the Third Proportional to 602,054 and 825,579

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Solution

The third proportional to 602,054 and 825,579 is: 1,132,092.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,054 : 825,579 = 825,579 : x
  2. Step 2: Convert to fraction form
    602,054/825,579 = 825,579/x
  3. Step 3: Cross multiply
    602,054x = 825,579 × 825,579
  4. Step 4: Simplify right side
    602,054x = 681,580,685,241
  5. Step 5: Solve for x
    x = 681,580,685,241/602,054
  6. Step 6: Final answer
    x = 1,132,092.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.