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Finding the Third Proportional to 338,028.19 and 786,021.47

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Solution

The third proportional to 338,028.19 and 786,021.47 is: 1,827,746.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,028.19 : 786,021.47 = 786,021.47 : x
  2. Step 2: Convert to fraction form
    338,028.19/786,021.47 = 786,021.47/x
  3. Step 3: Cross multiply
    338,028.19x = 786,021.47 × 786,021.47
  4. Step 4: Simplify right side
    338,028.19x = 617,829,749,335.91
  5. Step 5: Solve for x
    x = 617,829,749,335.91/338,028.19
  6. Step 6: Final answer
    x = 1,827,746.24

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.