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Finding the Third Proportional to 270,258 and 625,664

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Solution

The third proportional to 270,258 and 625,664 is: 1,448,450.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,258 : 625,664 = 625,664 : x
  2. Step 2: Convert to fraction form
    270,258/625,664 = 625,664/x
  3. Step 3: Cross multiply
    270,258x = 625,664 × 625,664
  4. Step 4: Simplify right side
    270,258x = 391,455,440,896
  5. Step 5: Solve for x
    x = 391,455,440,896/270,258
  6. Step 6: Final answer
    x = 1,448,450.89

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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.