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Finding the Third Proportional to 456,984 and 729,756

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Solution

The third proportional to 456,984 and 729,756 is: 1,165,344.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,984 : 729,756 = 729,756 : x
  2. Step 2: Convert to fraction form
    456,984/729,756 = 729,756/x
  3. Step 3: Cross multiply
    456,984x = 729,756 × 729,756
  4. Step 4: Simplify right side
    456,984x = 532,543,819,536
  5. Step 5: Solve for x
    x = 532,543,819,536/456,984
  6. Step 6: Final answer
    x = 1,165,344.56

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.