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Finding the Third Proportional to 524,573 and 834,151

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Solution

The third proportional to 524,573 and 834,151 is: 1,326,427.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,573 : 834,151 = 834,151 : x
  2. Step 2: Convert to fraction form
    524,573/834,151 = 834,151/x
  3. Step 3: Cross multiply
    524,573x = 834,151 × 834,151
  4. Step 4: Simplify right side
    524,573x = 695,807,890,801
  5. Step 5: Solve for x
    x = 695,807,890,801/524,573
  6. Step 6: Final answer
    x = 1,326,427.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.