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Finding the Third Proportional to 240,396 and 373,705.50

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Solution

The third proportional to 240,396 and 373,705.50 is: 580,940.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,396 : 373,705.50 = 373,705.50 : x
  2. Step 2: Convert to fraction form
    240,396/373,705.50 = 373,705.50/x
  3. Step 3: Cross multiply
    240,396x = 373,705.50 × 373,705.50
  4. Step 4: Simplify right side
    240,396x = 139,655,800,730.25
  5. Step 5: Solve for x
    x = 139,655,800,730.25/240,396
  6. Step 6: Final answer
    x = 580,940.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.