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Finding the Third Proportional to 360,510 and 834,558

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Solution

The third proportional to 360,510 and 834,558 is: 1,931,949.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,510 : 834,558 = 834,558 : x
  2. Step 2: Convert to fraction form
    360,510/834,558 = 834,558/x
  3. Step 3: Cross multiply
    360,510x = 834,558 × 834,558
  4. Step 4: Simplify right side
    360,510x = 696,487,055,364
  5. Step 5: Solve for x
    x = 696,487,055,364/360,510
  6. Step 6: Final answer
    x = 1,931,949.34

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.