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Finding the Third Proportional to 265,684 and 400,470

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Solution

The third proportional to 265,684 and 400,470 is: 603,635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,684 : 400,470 = 400,470 : x
  2. Step 2: Convert to fraction form
    265,684/400,470 = 400,470/x
  3. Step 3: Cross multiply
    265,684x = 400,470 × 400,470
  4. Step 4: Simplify right side
    265,684x = 160,376,220,900
  5. Step 5: Solve for x
    x = 160,376,220,900/265,684
  6. Step 6: Final answer
    x = 603,635.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.