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Finding the Third Proportional to 260,049 and 412,623.50

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Solution

The third proportional to 260,049 and 412,623.50 is: 654,715.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,049 : 412,623.50 = 412,623.50 : x
  2. Step 2: Convert to fraction form
    260,049/412,623.50 = 412,623.50/x
  3. Step 3: Cross multiply
    260,049x = 412,623.50 × 412,623.50
  4. Step 4: Simplify right side
    260,049x = 170,258,152,752.25
  5. Step 5: Solve for x
    x = 170,258,152,752.25/260,049
  6. Step 6: Final answer
    x = 654,715.66

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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.