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Finding the Third Proportional to 334,310 and 729,584

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Solution

The third proportional to 334,310 and 729,584 is: 1,592,213.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,310 : 729,584 = 729,584 : x
  2. Step 2: Convert to fraction form
    334,310/729,584 = 729,584/x
  3. Step 3: Cross multiply
    334,310x = 729,584 × 729,584
  4. Step 4: Simplify right side
    334,310x = 532,292,813,056
  5. Step 5: Solve for x
    x = 532,292,813,056/334,310
  6. Step 6: Final answer
    x = 1,592,213.25

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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.