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Finding the Third Proportional to 265,584 and 411,228

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Solution

The third proportional to 265,584 and 411,228 is: 636,741.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,584 : 411,228 = 411,228 : x
  2. Step 2: Convert to fraction form
    265,584/411,228 = 411,228/x
  3. Step 3: Cross multiply
    265,584x = 411,228 × 411,228
  4. Step 4: Simplify right side
    265,584x = 169,108,467,984
  5. Step 5: Solve for x
    x = 169,108,467,984/265,584
  6. Step 6: Final answer
    x = 636,741.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.