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Finding the Third Proportional to 365,049 and 544,534.50

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Solution

The third proportional to 365,049 and 544,534.50 is: 812,268.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,049 : 544,534.50 = 544,534.50 : x
  2. Step 2: Convert to fraction form
    365,049/544,534.50 = 544,534.50/x
  3. Step 3: Cross multiply
    365,049x = 544,534.50 × 544,534.50
  4. Step 4: Simplify right side
    365,049x = 296,517,821,690.25
  5. Step 5: Solve for x
    x = 296,517,821,690.25/365,049
  6. Step 6: Final answer
    x = 812,268.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.