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Finding the Third Proportional to 264,907 and 577,106

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Solution

The third proportional to 264,907 and 577,106 is: 1,257,238.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,907 : 577,106 = 577,106 : x
  2. Step 2: Convert to fraction form
    264,907/577,106 = 577,106/x
  3. Step 3: Cross multiply
    264,907x = 577,106 × 577,106
  4. Step 4: Simplify right side
    264,907x = 333,051,335,236
  5. Step 5: Solve for x
    x = 333,051,335,236/264,907
  6. Step 6: Final answer
    x = 1,257,238.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.