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Finding the Third Proportional to 358,975.50 and 783,147

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Solution

The third proportional to 358,975.50 and 783,147 is: 1,708,526.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,975.50 : 783,147 = 783,147 : x
  2. Step 2: Convert to fraction form
    358,975.50/783,147 = 783,147/x
  3. Step 3: Cross multiply
    358,975.50x = 783,147 × 783,147
  4. Step 4: Simplify right side
    358,975.50x = 613,319,223,609
  5. Step 5: Solve for x
    x = 613,319,223,609/358,975.50
  6. Step 6: Final answer
    x = 1,708,526.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.