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Finding the Third Proportional to 357,223.50 and 770,535

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Solution

The third proportional to 357,223.50 and 770,535 is: 1,662,052.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,223.50 : 770,535 = 770,535 : x
  2. Step 2: Convert to fraction form
    357,223.50/770,535 = 770,535/x
  3. Step 3: Cross multiply
    357,223.50x = 770,535 × 770,535
  4. Step 4: Simplify right side
    357,223.50x = 593,724,186,225
  5. Step 5: Solve for x
    x = 593,724,186,225/357,223.50
  6. Step 6: Final answer
    x = 1,662,052.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.