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Finding the Third Proportional to 602,178 and 825,717

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Solution

The third proportional to 602,178 and 825,717 is: 1,132,237.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,178 : 825,717 = 825,717 : x
  2. Step 2: Convert to fraction form
    602,178/825,717 = 825,717/x
  3. Step 3: Cross multiply
    602,178x = 825,717 × 825,717
  4. Step 4: Simplify right side
    602,178x = 681,808,564,089
  5. Step 5: Solve for x
    x = 681,808,564,089/602,178
  6. Step 6: Final answer
    x = 1,132,237.58

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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.