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Finding the Third Proportional to 760,154.50 and 1,023,876

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Solution

The third proportional to 760,154.50 and 1,023,876 is: 1,379,090.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,154.50 : 1,023,876 = 1,023,876 : x
  2. Step 2: Convert to fraction form
    760,154.50/1,023,876 = 1,023,876/x
  3. Step 3: Cross multiply
    760,154.50x = 1,023,876 × 1,023,876
  4. Step 4: Simplify right side
    760,154.50x = 1,048,322,063,376
  5. Step 5: Solve for x
    x = 1,048,322,063,376/760,154.50
  6. Step 6: Final answer
    x = 1,379,090.78

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.