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Finding the Third Proportional to 338,610 and 506,259

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Solution

The third proportional to 338,610 and 506,259 is: 756,912.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,610 : 506,259 = 506,259 : x
  2. Step 2: Convert to fraction form
    338,610/506,259 = 506,259/x
  3. Step 3: Cross multiply
    338,610x = 506,259 × 506,259
  4. Step 4: Simplify right side
    338,610x = 256,298,175,081
  5. Step 5: Solve for x
    x = 256,298,175,081/338,610
  6. Step 6: Final answer
    x = 756,912.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.