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Finding the Third Proportional to 358,318.69 and 502,000.03

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Solution

The third proportional to 358,318.69 and 502,000.03 is: 703,295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,318.69 : 502,000.03 = 502,000.03 : x
  2. Step 2: Convert to fraction form
    358,318.69/502,000.03 = 502,000.03/x
  3. Step 3: Cross multiply
    358,318.69x = 502,000.03 × 502,000.03
  4. Step 4: Simplify right side
    358,318.69x = 252,004,031,375.00
  5. Step 5: Solve for x
    x = 252,004,031,375.00/358,318.69
  6. Step 6: Final answer
    x = 703,295.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.