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Finding the Third Proportional to 255,471 and 386,740.50

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Solution

The third proportional to 255,471 and 386,740.50 is: 585,460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,471 : 386,740.50 = 386,740.50 : x
  2. Step 2: Convert to fraction form
    255,471/386,740.50 = 386,740.50/x
  3. Step 3: Cross multiply
    255,471x = 386,740.50 × 386,740.50
  4. Step 4: Simplify right side
    255,471x = 149,568,214,340.25
  5. Step 5: Solve for x
    x = 149,568,214,340.25/255,471
  6. Step 6: Final answer
    x = 585,460.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.