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Finding the Third Proportional to 358,277 and 782,050

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Solution

The third proportional to 358,277 and 782,050 is: 1,707,065.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,277 : 782,050 = 782,050 : x
  2. Step 2: Convert to fraction form
    358,277/782,050 = 782,050/x
  3. Step 3: Cross multiply
    358,277x = 782,050 × 782,050
  4. Step 4: Simplify right side
    358,277x = 611,602,202,500
  5. Step 5: Solve for x
    x = 611,602,202,500/358,277
  6. Step 6: Final answer
    x = 1,707,065.21

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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.