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Finding the Third Proportional to 265,614 and 575,476

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Solution

The third proportional to 265,614 and 575,476 is: 1,246,819.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,614 : 575,476 = 575,476 : x
  2. Step 2: Convert to fraction form
    265,614/575,476 = 575,476/x
  3. Step 3: Cross multiply
    265,614x = 575,476 × 575,476
  4. Step 4: Simplify right side
    265,614x = 331,172,626,576
  5. Step 5: Solve for x
    x = 331,172,626,576/265,614
  6. Step 6: Final answer
    x = 1,246,819.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.