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Finding the Third Proportional to 275,256 and 602,964

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Solution

The third proportional to 275,256 and 602,964 is: 1,320,827.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,256 : 602,964 = 602,964 : x
  2. Step 2: Convert to fraction form
    275,256/602,964 = 602,964/x
  3. Step 3: Cross multiply
    275,256x = 602,964 × 602,964
  4. Step 4: Simplify right side
    275,256x = 363,565,585,296
  5. Step 5: Solve for x
    x = 363,565,585,296/275,256
  6. Step 6: Final answer
    x = 1,320,827.10

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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.