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Finding the Third Proportional to 317,703 and 684,222

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Solution

The third proportional to 317,703 and 684,222 is: 1,473,576.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,703 : 684,222 = 684,222 : x
  2. Step 2: Convert to fraction form
    317,703/684,222 = 684,222/x
  3. Step 3: Cross multiply
    317,703x = 684,222 × 684,222
  4. Step 4: Simplify right side
    317,703x = 468,159,745,284
  5. Step 5: Solve for x
    x = 468,159,745,284/317,703
  6. Step 6: Final answer
    x = 1,473,576.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.