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Finding the Third Proportional to 374,821 and 596,123

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Solution

The third proportional to 374,821 and 596,123 is: 948,086.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,821 : 596,123 = 596,123 : x
  2. Step 2: Convert to fraction form
    374,821/596,123 = 596,123/x
  3. Step 3: Cross multiply
    374,821x = 596,123 × 596,123
  4. Step 4: Simplify right side
    374,821x = 355,362,631,129
  5. Step 5: Solve for x
    x = 355,362,631,129/374,821
  6. Step 6: Final answer
    x = 948,086.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.