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Finding the Third Proportional to 344,045 and 729,886

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Solution

The third proportional to 344,045 and 729,886 is: 1,548,441.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,045 : 729,886 = 729,886 : x
  2. Step 2: Convert to fraction form
    344,045/729,886 = 729,886/x
  3. Step 3: Cross multiply
    344,045x = 729,886 × 729,886
  4. Step 4: Simplify right side
    344,045x = 532,733,572,996
  5. Step 5: Solve for x
    x = 532,733,572,996/344,045
  6. Step 6: Final answer
    x = 1,548,441.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.