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Finding the Third Proportional to 354,399.05 and 777,688.59

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Solution

The third proportional to 354,399.05 and 777,688.59 is: 1,706,549.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,399.05 : 777,688.59 = 777,688.59 : x
  2. Step 2: Convert to fraction form
    354,399.05/777,688.59 = 777,688.59/x
  3. Step 3: Cross multiply
    354,399.05x = 777,688.59 × 777,688.59
  4. Step 4: Simplify right side
    354,399.05x = 604,799,548,848.85
  5. Step 5: Solve for x
    x = 604,799,548,848.85/354,399.05
  6. Step 6: Final answer
    x = 1,706,549.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.