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Finding the Third Proportional to 396,113.50 and 596,070

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Solution

The third proportional to 396,113.50 and 596,070 is: 896,963.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,113.50 : 596,070 = 596,070 : x
  2. Step 2: Convert to fraction form
    396,113.50/596,070 = 596,070/x
  3. Step 3: Cross multiply
    396,113.50x = 596,070 × 596,070
  4. Step 4: Simplify right side
    396,113.50x = 355,299,444,900
  5. Step 5: Solve for x
    x = 355,299,444,900/396,113.50
  6. Step 6: Final answer
    x = 896,963.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.