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Finding the Third Proportional to 602,063 and 825,592

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Solution

The third proportional to 602,063 and 825,592 is: 1,132,111.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,063 : 825,592 = 825,592 : x
  2. Step 2: Convert to fraction form
    602,063/825,592 = 825,592/x
  3. Step 3: Cross multiply
    602,063x = 825,592 × 825,592
  4. Step 4: Simplify right side
    602,063x = 681,602,150,464
  5. Step 5: Solve for x
    x = 681,602,150,464/602,063
  6. Step 6: Final answer
    x = 1,132,111.01

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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.