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Finding the Third Proportional to 263,604 and 577,392

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Solution

The third proportional to 263,604 and 577,392 is: 1,264,705.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,604 : 577,392 = 577,392 : x
  2. Step 2: Convert to fraction form
    263,604/577,392 = 577,392/x
  3. Step 3: Cross multiply
    263,604x = 577,392 × 577,392
  4. Step 4: Simplify right side
    263,604x = 333,381,521,664
  5. Step 5: Solve for x
    x = 333,381,521,664/263,604
  6. Step 6: Final answer
    x = 1,264,705.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.