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Finding the Third Proportional to 270,726 and 406,089

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Solution

The third proportional to 270,726 and 406,089 is: 609,133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,726 : 406,089 = 406,089 : x
  2. Step 2: Convert to fraction form
    270,726/406,089 = 406,089/x
  3. Step 3: Cross multiply
    270,726x = 406,089 × 406,089
  4. Step 4: Simplify right side
    270,726x = 164,908,275,921
  5. Step 5: Solve for x
    x = 164,908,275,921/270,726
  6. Step 6: Final answer
    x = 609,133.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.