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Finding the Third Proportional to 652,842.28 and 998,012.39

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Solution

The third proportional to 652,842.28 and 998,012.39 is: 1,525,680.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,842.28 : 998,012.39 = 998,012.39 : x
  2. Step 2: Convert to fraction form
    652,842.28/998,012.39 = 998,012.39/x
  3. Step 3: Cross multiply
    652,842.28x = 998,012.39 × 998,012.39
  4. Step 4: Simplify right side
    652,842.28x = 996,028,731,841.03
  5. Step 5: Solve for x
    x = 996,028,731,841.03/652,842.28
  6. Step 6: Final answer
    x = 1,525,680.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.