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Finding the Third Proportional to 365,318 and 573,220

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Solution

The third proportional to 365,318 and 573,220 is: 899,438.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,318 : 573,220 = 573,220 : x
  2. Step 2: Convert to fraction form
    365,318/573,220 = 573,220/x
  3. Step 3: Cross multiply
    365,318x = 573,220 × 573,220
  4. Step 4: Simplify right side
    365,318x = 328,581,168,400
  5. Step 5: Solve for x
    x = 328,581,168,400/365,318
  6. Step 6: Final answer
    x = 899,438.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.