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Finding the Third Proportional to 254,260.13 and 384,673.50

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Solution

The third proportional to 254,260.13 and 384,673.50 is: 581,977.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,260.13 : 384,673.50 = 384,673.50 : x
  2. Step 2: Convert to fraction form
    254,260.13/384,673.50 = 384,673.50/x
  3. Step 3: Cross multiply
    254,260.13x = 384,673.50 × 384,673.50
  4. Step 4: Simplify right side
    254,260.13x = 147,973,701,602.25
  5. Step 5: Solve for x
    x = 147,973,701,602.25/254,260.13
  6. Step 6: Final answer
    x = 581,977.62

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Why These Related Problems?

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