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Finding the Third Proportional to 374,040 and 560,912

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Solution

The third proportional to 374,040 and 560,912 is: 841,146.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,040 : 560,912 = 560,912 : x
  2. Step 2: Convert to fraction form
    374,040/560,912 = 560,912/x
  3. Step 3: Cross multiply
    374,040x = 560,912 × 560,912
  4. Step 4: Simplify right side
    374,040x = 314,622,271,744
  5. Step 5: Solve for x
    x = 314,622,271,744/374,040
  6. Step 6: Final answer
    x = 841,146.06

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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.