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Finding the Third Proportional to 334,553 and 476,916

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Solution

The third proportional to 334,553 and 476,916 is: 679,859.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,553 : 476,916 = 476,916 : x
  2. Step 2: Convert to fraction form
    334,553/476,916 = 476,916/x
  3. Step 3: Cross multiply
    334,553x = 476,916 × 476,916
  4. Step 4: Simplify right side
    334,553x = 227,448,871,056
  5. Step 5: Solve for x
    x = 227,448,871,056/334,553
  6. Step 6: Final answer
    x = 679,859.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.