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Finding the Third Proportional to 458,156 and 696,954

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Solution

The third proportional to 458,156 and 696,954 is: 1,060,217.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,156 : 696,954 = 696,954 : x
  2. Step 2: Convert to fraction form
    458,156/696,954 = 696,954/x
  3. Step 3: Cross multiply
    458,156x = 696,954 × 696,954
  4. Step 4: Simplify right side
    458,156x = 485,744,878,116
  5. Step 5: Solve for x
    x = 485,744,878,116/458,156
  6. Step 6: Final answer
    x = 1,060,217.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.