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Finding the Third Proportional to 553,176 and 834,852

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Solution

The third proportional to 553,176 and 834,852 is: 1,259,956.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,176 : 834,852 = 834,852 : x
  2. Step 2: Convert to fraction form
    553,176/834,852 = 834,852/x
  3. Step 3: Cross multiply
    553,176x = 834,852 × 834,852
  4. Step 4: Simplify right side
    553,176x = 696,977,861,904
  5. Step 5: Solve for x
    x = 696,977,861,904/553,176
  6. Step 6: Final answer
    x = 1,259,956.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.