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Finding the Third Proportional to 357,231 and 770,550

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Solution

The third proportional to 357,231 and 770,550 is: 1,662,082.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,231 : 770,550 = 770,550 : x
  2. Step 2: Convert to fraction form
    357,231/770,550 = 770,550/x
  3. Step 3: Cross multiply
    357,231x = 770,550 × 770,550
  4. Step 4: Simplify right side
    357,231x = 593,747,302,500
  5. Step 5: Solve for x
    x = 593,747,302,500/357,231
  6. Step 6: Final answer
    x = 1,662,082.25

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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.