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Finding the Third Proportional to 389,518.88 and 586,841.63

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Solution

The third proportional to 389,518.88 and 586,841.63 is: 884,124.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,518.88 : 586,841.63 = 586,841.63 : x
  2. Step 2: Convert to fraction form
    389,518.88/586,841.63 = 586,841.63/x
  3. Step 3: Cross multiply
    389,518.88x = 586,841.63 × 586,841.63
  4. Step 4: Simplify right side
    389,518.88x = 344,383,092,832.64
  5. Step 5: Solve for x
    x = 344,383,092,832.64/389,518.88
  6. Step 6: Final answer
    x = 884,124.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.