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Finding the Third Proportional to 289,656 and 452,769.75

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Solution

The third proportional to 289,656 and 452,769.75 is: 707,737.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,656 : 452,769.75 = 452,769.75 : x
  2. Step 2: Convert to fraction form
    289,656/452,769.75 = 452,769.75/x
  3. Step 3: Cross multiply
    289,656x = 452,769.75 × 452,769.75
  4. Step 4: Simplify right side
    289,656x = 205,000,446,515.06
  5. Step 5: Solve for x
    x = 205,000,446,515.06/289,656
  6. Step 6: Final answer
    x = 707,737.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.