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Finding the Third Proportional to 596,308.50 and 1,277,829

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Solution

The third proportional to 596,308.50 and 1,277,829 is: 2,738,258.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,308.50 : 1,277,829 = 1,277,829 : x
  2. Step 2: Convert to fraction form
    596,308.50/1,277,829 = 1,277,829/x
  3. Step 3: Cross multiply
    596,308.50x = 1,277,829 × 1,277,829
  4. Step 4: Simplify right side
    596,308.50x = 1,632,846,953,241
  5. Step 5: Solve for x
    x = 1,632,846,953,241/596,308.50
  6. Step 6: Final answer
    x = 2,738,258.73

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Why These Related Problems?

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