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Finding the Third Proportional to 265,476 and 411,054

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Solution

The third proportional to 265,476 and 411,054 is: 636,462.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,476 : 411,054 = 411,054 : x
  2. Step 2: Convert to fraction form
    265,476/411,054 = 411,054/x
  3. Step 3: Cross multiply
    265,476x = 411,054 × 411,054
  4. Step 4: Simplify right side
    265,476x = 168,965,390,916
  5. Step 5: Solve for x
    x = 168,965,390,916/265,476
  6. Step 6: Final answer
    x = 636,462.02

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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.