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Finding the Third Proportional to 270,024 and 625,128

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Solution

The third proportional to 270,024 and 625,128 is: 1,447,223.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,024 : 625,128 = 625,128 : x
  2. Step 2: Convert to fraction form
    270,024/625,128 = 625,128/x
  3. Step 3: Cross multiply
    270,024x = 625,128 × 625,128
  4. Step 4: Simplify right side
    270,024x = 390,785,016,384
  5. Step 5: Solve for x
    x = 390,785,016,384/270,024
  6. Step 6: Final answer
    x = 1,447,223.27

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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.