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Finding the Third Proportional to 192,587 and 429,432

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Solution

The third proportional to 192,587 and 429,432 is: 957,550.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,587 : 429,432 = 429,432 : x
  2. Step 2: Convert to fraction form
    192,587/429,432 = 429,432/x
  3. Step 3: Cross multiply
    192,587x = 429,432 × 429,432
  4. Step 4: Simplify right side
    192,587x = 184,411,842,624
  5. Step 5: Solve for x
    x = 184,411,842,624/192,587
  6. Step 6: Final answer
    x = 957,550.83

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.