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Finding the Third Proportional to 518,340.50 and 773,513

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Solution

The third proportional to 518,340.50 and 773,513 is: 1,154,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,340.50 : 773,513 = 773,513 : x
  2. Step 2: Convert to fraction form
    518,340.50/773,513 = 773,513/x
  3. Step 3: Cross multiply
    518,340.50x = 773,513 × 773,513
  4. Step 4: Simplify right side
    518,340.50x = 598,322,361,169
  5. Step 5: Solve for x
    x = 598,322,361,169/518,340.50
  6. Step 6: Final answer
    x = 1,154,303.71

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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.