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Finding the Third Proportional to 264,878 and 577,044

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Solution

The third proportional to 264,878 and 577,044 is: 1,257,106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,878 : 577,044 = 577,044 : x
  2. Step 2: Convert to fraction form
    264,878/577,044 = 577,044/x
  3. Step 3: Cross multiply
    264,878x = 577,044 × 577,044
  4. Step 4: Simplify right side
    264,878x = 332,979,777,936
  5. Step 5: Solve for x
    x = 332,979,777,936/264,878
  6. Step 6: Final answer
    x = 1,257,106.21

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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.