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Finding the Third Proportional to 265,966.50 and 408,792

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Solution

The third proportional to 265,966.50 and 408,792 is: 628,315.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,966.50 : 408,792 = 408,792 : x
  2. Step 2: Convert to fraction form
    265,966.50/408,792 = 408,792/x
  3. Step 3: Cross multiply
    265,966.50x = 408,792 × 408,792
  4. Step 4: Simplify right side
    265,966.50x = 167,110,899,264
  5. Step 5: Solve for x
    x = 167,110,899,264/265,966.50
  6. Step 6: Final answer
    x = 628,315.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.