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Finding the Third Proportional to 458,154 and 696,951

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Solution

The third proportional to 458,154 and 696,951 is: 1,060,212.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,154 : 696,951 = 696,951 : x
  2. Step 2: Convert to fraction form
    458,154/696,951 = 696,951/x
  3. Step 3: Cross multiply
    458,154x = 696,951 × 696,951
  4. Step 4: Simplify right side
    458,154x = 485,740,696,401
  5. Step 5: Solve for x
    x = 485,740,696,401/458,154
  6. Step 6: Final answer
    x = 1,060,212.72

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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.