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Finding the Third Proportional to 729,275 and 1,153,848

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Solution

The third proportional to 729,275 and 1,153,848 is: 1,825,601.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,275 : 1,153,848 = 1,153,848 : x
  2. Step 2: Convert to fraction form
    729,275/1,153,848 = 1,153,848/x
  3. Step 3: Cross multiply
    729,275x = 1,153,848 × 1,153,848
  4. Step 4: Simplify right side
    729,275x = 1,331,365,207,104
  5. Step 5: Solve for x
    x = 1,331,365,207,104/729,275
  6. Step 6: Final answer
    x = 1,825,601.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.