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Finding the Third Proportional to 596,139.75 and 921,000.38

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Solution

The third proportional to 596,139.75 and 921,000.38 is: 1,422,890.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,139.75 : 921,000.38 = 921,000.38 : x
  2. Step 2: Convert to fraction form
    596,139.75/921,000.38 = 921,000.38/x
  3. Step 3: Cross multiply
    596,139.75x = 921,000.38 × 921,000.38
  4. Step 4: Simplify right side
    596,139.75x = 848,241,690,750.14
  5. Step 5: Solve for x
    x = 848,241,690,750.14/596,139.75
  6. Step 6: Final answer
    x = 1,422,890.67

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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.