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Finding the Third Proportional to 363,792 and 561,240

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Solution

The third proportional to 363,792 and 561,240 is: 865,852.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,792 : 561,240 = 561,240 : x
  2. Step 2: Convert to fraction form
    363,792/561,240 = 561,240/x
  3. Step 3: Cross multiply
    363,792x = 561,240 × 561,240
  4. Step 4: Simplify right side
    363,792x = 314,990,337,600
  5. Step 5: Solve for x
    x = 314,990,337,600/363,792
  6. Step 6: Final answer
    x = 865,852.84

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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.