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Finding the Third Proportional to 228,431 and 334,855

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Solution

The third proportional to 228,431 and 334,855 is: 490,861.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,431 : 334,855 = 334,855 : x
  2. Step 2: Convert to fraction form
    228,431/334,855 = 334,855/x
  3. Step 3: Cross multiply
    228,431x = 334,855 × 334,855
  4. Step 4: Simplify right side
    228,431x = 112,127,871,025
  5. Step 5: Solve for x
    x = 112,127,871,025/228,431
  6. Step 6: Final answer
    x = 490,861.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.