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Finding the Third Proportional to 332,865 and 540,792

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Solution

The third proportional to 332,865 and 540,792 is: 878,602.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,865 : 540,792 = 540,792 : x
  2. Step 2: Convert to fraction form
    332,865/540,792 = 540,792/x
  3. Step 3: Cross multiply
    332,865x = 540,792 × 540,792
  4. Step 4: Simplify right side
    332,865x = 292,455,987,264
  5. Step 5: Solve for x
    x = 292,455,987,264/332,865
  6. Step 6: Final answer
    x = 878,602.40

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.