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Finding the Third Proportional to 334,551 and 476,915

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Solution

The third proportional to 334,551 and 476,915 is: 679,860.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,551 : 476,915 = 476,915 : x
  2. Step 2: Convert to fraction form
    334,551/476,915 = 476,915/x
  3. Step 3: Cross multiply
    334,551x = 476,915 × 476,915
  4. Step 4: Simplify right side
    334,551x = 227,447,917,225
  5. Step 5: Solve for x
    x = 227,447,917,225/334,551
  6. Step 6: Final answer
    x = 679,860.22

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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.