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Finding the Third Proportional to 380,466 and 569,510

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Solution

The third proportional to 380,466 and 569,510 is: 852,485.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,466 : 569,510 = 569,510 : x
  2. Step 2: Convert to fraction form
    380,466/569,510 = 569,510/x
  3. Step 3: Cross multiply
    380,466x = 569,510 × 569,510
  4. Step 4: Simplify right side
    380,466x = 324,341,640,100
  5. Step 5: Solve for x
    x = 324,341,640,100/380,466
  6. Step 6: Final answer
    x = 852,485.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.