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Finding the Third Proportional to 268,528.50 and 579,092.63

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Solution

The third proportional to 268,528.50 and 579,092.63 is: 1,248,836.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,528.50 : 579,092.63 = 579,092.63 : x
  2. Step 2: Convert to fraction form
    268,528.50/579,092.63 = 579,092.63/x
  3. Step 3: Cross multiply
    268,528.50x = 579,092.63 × 579,092.63
  4. Step 4: Simplify right side
    268,528.50x = 335,348,268,329.39
  5. Step 5: Solve for x
    x = 335,348,268,329.39/268,528.50
  6. Step 6: Final answer
    x = 1,248,836.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.