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Finding the Third Proportional to 498,655.50 and 1,102,284

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Solution

The third proportional to 498,655.50 and 1,102,284 is: 2,436,612.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,655.50 : 1,102,284 = 1,102,284 : x
  2. Step 2: Convert to fraction form
    498,655.50/1,102,284 = 1,102,284/x
  3. Step 3: Cross multiply
    498,655.50x = 1,102,284 × 1,102,284
  4. Step 4: Simplify right side
    498,655.50x = 1,215,030,016,656
  5. Step 5: Solve for x
    x = 1,215,030,016,656/498,655.50
  6. Step 6: Final answer
    x = 2,436,612.08

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.