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Finding the Third Proportional to 270,216 and 625,563

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Solution

The third proportional to 270,216 and 625,563 is: 1,448,208.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,216 : 625,563 = 625,563 : x
  2. Step 2: Convert to fraction form
    270,216/625,563 = 625,563/x
  3. Step 3: Cross multiply
    270,216x = 625,563 × 625,563
  4. Step 4: Simplify right side
    270,216x = 391,329,066,969
  5. Step 5: Solve for x
    x = 391,329,066,969/270,216
  6. Step 6: Final answer
    x = 1,448,208.35

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.