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Finding the Third Proportional to 373,880 and 560,712

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Solution

The third proportional to 373,880 and 560,712 is: 840,906.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,880 : 560,712 = 560,712 : x
  2. Step 2: Convert to fraction form
    373,880/560,712 = 560,712/x
  3. Step 3: Cross multiply
    373,880x = 560,712 × 560,712
  4. Step 4: Simplify right side
    373,880x = 314,397,946,944
  5. Step 5: Solve for x
    x = 314,397,946,944/373,880
  6. Step 6: Final answer
    x = 840,906.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.