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Finding the Third Proportional to 458,160 and 696,960

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Solution

The third proportional to 458,160 and 696,960 is: 1,060,226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,160 : 696,960 = 696,960 : x
  2. Step 2: Convert to fraction form
    458,160/696,960 = 696,960/x
  3. Step 3: Cross multiply
    458,160x = 696,960 × 696,960
  4. Step 4: Simplify right side
    458,160x = 485,753,241,600
  5. Step 5: Solve for x
    x = 485,753,241,600/458,160
  6. Step 6: Final answer
    x = 1,060,226.21

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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.