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Finding the Third Proportional to 601,929.56 and 825,390.84

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Solution

The third proportional to 601,929.56 and 825,390.84 is: 1,131,810.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,929.56 : 825,390.84 = 825,390.84 : x
  2. Step 2: Convert to fraction form
    601,929.56/825,390.84 = 825,390.84/x
  3. Step 3: Cross multiply
    601,929.56x = 825,390.84 × 825,390.84
  4. Step 4: Simplify right side
    601,929.56x = 681,270,044,946.34
  5. Step 5: Solve for x
    x = 681,270,044,946.34/601,929.56
  6. Step 6: Final answer
    x = 1,131,810.24

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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.