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Finding the Third Proportional to 357,835.50 and 548,220

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Solution

The third proportional to 357,835.50 and 548,220 is: 839,897.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,835.50 : 548,220 = 548,220 : x
  2. Step 2: Convert to fraction form
    357,835.50/548,220 = 548,220/x
  3. Step 3: Cross multiply
    357,835.50x = 548,220 × 548,220
  4. Step 4: Simplify right side
    357,835.50x = 300,545,168,400
  5. Step 5: Solve for x
    x = 300,545,168,400/357,835.50
  6. Step 6: Final answer
    x = 839,897.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.