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Finding the Third Proportional to 355,788 and 850,428

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Solution

The third proportional to 355,788 and 850,428 is: 2,032,749.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,788 : 850,428 = 850,428 : x
  2. Step 2: Convert to fraction form
    355,788/850,428 = 850,428/x
  3. Step 3: Cross multiply
    355,788x = 850,428 × 850,428
  4. Step 4: Simplify right side
    355,788x = 723,227,783,184
  5. Step 5: Solve for x
    x = 723,227,783,184/355,788
  6. Step 6: Final answer
    x = 2,032,749.23

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.