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Finding the Third Proportional to 265,680 and 394,758

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Solution

The third proportional to 265,680 and 394,758 is: 586,547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,680 : 394,758 = 394,758 : x
  2. Step 2: Convert to fraction form
    265,680/394,758 = 394,758/x
  3. Step 3: Cross multiply
    265,680x = 394,758 × 394,758
  4. Step 4: Simplify right side
    265,680x = 155,833,878,564
  5. Step 5: Solve for x
    x = 155,833,878,564/265,680
  6. Step 6: Final answer
    x = 586,547.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.