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Finding the Third Proportional to 263,602 and 577,388

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Solution

The third proportional to 263,602 and 577,388 is: 1,264,697.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,602 : 577,388 = 577,388 : x
  2. Step 2: Convert to fraction form
    263,602/577,388 = 577,388/x
  3. Step 3: Cross multiply
    263,602x = 577,388 × 577,388
  4. Step 4: Simplify right side
    263,602x = 333,376,902,544
  5. Step 5: Solve for x
    x = 333,376,902,544/263,602
  6. Step 6: Final answer
    x = 1,264,697.93

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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.