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Finding the Third Proportional to 576,784 and 860,392

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Solution

The third proportional to 576,784 and 860,392 is: 1,283,451.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,784 : 860,392 = 860,392 : x
  2. Step 2: Convert to fraction form
    576,784/860,392 = 860,392/x
  3. Step 3: Cross multiply
    576,784x = 860,392 × 860,392
  4. Step 4: Simplify right side
    576,784x = 740,274,393,664
  5. Step 5: Solve for x
    x = 740,274,393,664/576,784
  6. Step 6: Final answer
    x = 1,283,451.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.