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Finding the Third Proportional to 553,052 and 834,654

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Solution

The third proportional to 553,052 and 834,654 is: 1,259,641.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,052 : 834,654 = 834,654 : x
  2. Step 2: Convert to fraction form
    553,052/834,654 = 834,654/x
  3. Step 3: Cross multiply
    553,052x = 834,654 × 834,654
  4. Step 4: Simplify right side
    553,052x = 696,647,299,716
  5. Step 5: Solve for x
    x = 696,647,299,716/553,052
  6. Step 6: Final answer
    x = 1,259,641.59

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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.