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Finding the Third Proportional to 270,036 and 625,152

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Solution

The third proportional to 270,036 and 625,152 is: 1,447,270.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,036 : 625,152 = 625,152 : x
  2. Step 2: Convert to fraction form
    270,036/625,152 = 625,152/x
  3. Step 3: Cross multiply
    270,036x = 625,152 × 625,152
  4. Step 4: Simplify right side
    270,036x = 390,815,023,104
  5. Step 5: Solve for x
    x = 390,815,023,104/270,036
  6. Step 6: Final answer
    x = 1,447,270.08

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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.