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Finding the Third Proportional to 374,022 and 560,888

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Solution

The third proportional to 374,022 and 560,888 is: 841,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,022 : 560,888 = 560,888 : x
  2. Step 2: Convert to fraction form
    374,022/560,888 = 560,888/x
  3. Step 3: Cross multiply
    374,022x = 560,888 × 560,888
  4. Step 4: Simplify right side
    374,022x = 314,595,348,544
  5. Step 5: Solve for x
    x = 314,595,348,544/374,022
  6. Step 6: Final answer
    x = 841,114.56

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