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Finding the Third Proportional to 553,175 and 834,850

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Solution

The third proportional to 553,175 and 834,850 is: 1,259,953.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,175 : 834,850 = 834,850 : x
  2. Step 2: Convert to fraction form
    553,175/834,850 = 834,850/x
  3. Step 3: Cross multiply
    553,175x = 834,850 × 834,850
  4. Step 4: Simplify right side
    553,175x = 696,974,522,500
  5. Step 5: Solve for x
    x = 696,974,522,500/553,175
  6. Step 6: Final answer
    x = 1,259,953.04

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