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Finding the Third Proportional to 265,624 and 575,496

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Solution

The third proportional to 265,624 and 575,496 is: 1,246,858.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,624 : 575,496 = 575,496 : x
  2. Step 2: Convert to fraction form
    265,624/575,496 = 575,496/x
  3. Step 3: Cross multiply
    265,624x = 575,496 × 575,496
  4. Step 4: Simplify right side
    265,624x = 331,195,646,016
  5. Step 5: Solve for x
    x = 331,195,646,016/265,624
  6. Step 6: Final answer
    x = 1,246,858.89

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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.