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Finding the Third Proportional to 374,024 and 560,891

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Solution

The third proportional to 374,024 and 560,891 is: 841,119.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,024 : 560,891 = 560,891 : x
  2. Step 2: Convert to fraction form
    374,024/560,891 = 560,891/x
  3. Step 3: Cross multiply
    374,024x = 560,891 × 560,891
  4. Step 4: Simplify right side
    374,024x = 314,598,713,881
  5. Step 5: Solve for x
    x = 314,598,713,881/374,024
  6. Step 6: Final answer
    x = 841,119.06

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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.