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Finding the Third Proportional to 322,953 and 480,733.50

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Solution

The third proportional to 322,953 and 480,733.50 is: 715,598.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,953 : 480,733.50 = 480,733.50 : x
  2. Step 2: Convert to fraction form
    322,953/480,733.50 = 480,733.50/x
  3. Step 3: Cross multiply
    322,953x = 480,733.50 × 480,733.50
  4. Step 4: Simplify right side
    322,953x = 231,104,698,022.25
  5. Step 5: Solve for x
    x = 231,104,698,022.25/322,953
  6. Step 6: Final answer
    x = 715,598.55

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