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Finding the Third Proportional to 235,193.63 and 503,587.13

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Solution

The third proportional to 235,193.63 and 503,587.13 is: 1,078,260.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,193.63 : 503,587.13 = 503,587.13 : x
  2. Step 2: Convert to fraction form
    235,193.63/503,587.13 = 503,587.13/x
  3. Step 3: Cross multiply
    235,193.63x = 503,587.13 × 503,587.13
  4. Step 4: Simplify right side
    235,193.63x = 253,599,992,465.77
  5. Step 5: Solve for x
    x = 253,599,992,465.77/235,193.63
  6. Step 6: Final answer
    x = 1,078,260.49

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.