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Finding the Third Proportional to 270,020 and 625,118

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Solution

The third proportional to 270,020 and 625,118 is: 1,447,198.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,020 : 625,118 = 625,118 : x
  2. Step 2: Convert to fraction form
    270,020/625,118 = 625,118/x
  3. Step 3: Cross multiply
    270,020x = 625,118 × 625,118
  4. Step 4: Simplify right side
    270,020x = 390,772,513,924
  5. Step 5: Solve for x
    x = 390,772,513,924/270,020
  6. Step 6: Final answer
    x = 1,447,198.41

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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.