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Finding the Third Proportional to 334,323 and 729,578

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Solution

The third proportional to 334,323 and 729,578 is: 1,592,125.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,323 : 729,578 = 729,578 : x
  2. Step 2: Convert to fraction form
    334,323/729,578 = 729,578/x
  3. Step 3: Cross multiply
    334,323x = 729,578 × 729,578
  4. Step 4: Simplify right side
    334,323x = 532,284,058,084
  5. Step 5: Solve for x
    x = 532,284,058,084/334,323
  6. Step 6: Final answer
    x = 1,592,125.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.