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Finding the Third Proportional to 519,969.38 and 798,877.69

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Solution

The third proportional to 519,969.38 and 798,877.69 is: 1,227,390.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,969.38 : 798,877.69 = 798,877.69 : x
  2. Step 2: Convert to fraction form
    519,969.38/798,877.69 = 798,877.69/x
  3. Step 3: Cross multiply
    519,969.38x = 798,877.69 × 798,877.69
  4. Step 4: Simplify right side
    519,969.38x = 638,205,559,585.35
  5. Step 5: Solve for x
    x = 638,205,559,585.35/519,969.38
  6. Step 6: Final answer
    x = 1,227,390.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.