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Finding the Third Proportional to 265,394 and 410,943

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Solution

The third proportional to 265,394 and 410,943 is: 636,314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,394 : 410,943 = 410,943 : x
  2. Step 2: Convert to fraction form
    265,394/410,943 = 410,943/x
  3. Step 3: Cross multiply
    265,394x = 410,943 × 410,943
  4. Step 4: Simplify right side
    265,394x = 168,874,149,249
  5. Step 5: Solve for x
    x = 168,874,149,249/265,394
  6. Step 6: Final answer
    x = 636,314.87

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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.