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Finding the Third Proportional to 265,584 and 406,119

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Solution

The third proportional to 265,584 and 406,119 is: 621,018.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,584 : 406,119 = 406,119 : x
  2. Step 2: Convert to fraction form
    265,584/406,119 = 406,119/x
  3. Step 3: Cross multiply
    265,584x = 406,119 × 406,119
  4. Step 4: Simplify right side
    265,584x = 164,932,642,161
  5. Step 5: Solve for x
    x = 164,932,642,161/265,584
  6. Step 6: Final answer
    x = 621,018.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.